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6480712800 = 253552173753
BaseRepresentation
bin1100000100100011…
…11101010001100000
3121201122121022200000
412002101331101200
5101233030302200
62551024100000
7316412102262
oct60221752140
917648538600
106480712800
1128262144a1
12130a464600
137c385a003
144569c3b32
1527de41300
hex18247d460

6480712800 has 864 divisors, whose sum is σ = 26257506912. Its totient is φ = 1552711680.

The previous prime is 6480712769. The next prime is 6480712811. The reversal of 6480712800 is 82170846.

6480712800 is a `hidden beast` number, since 648 + 0 + 7 + 1 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122277574 + ... + 122277626.

It is an arithmetic number, because the mean of its divisors is an integer number (30390633).

Almost surely, 26480712800 is an apocalyptic number.

6480712800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13128753456).

6480712800 is an abundant number, since it is smaller than the sum of its proper divisors (19776794112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6480712800 is a wasteful number, since it uses less digits than its factorization.

6480712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6480712800 is about 80502.8744828407. The cubic root of 6480712800 is about 1864.4078601811.

The spelling of 6480712800 in words is "six billion, four hundred eighty million, seven hundred twelve thousand, eight hundred".