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6480606720 = 293572171013
BaseRepresentation
bin1100000100100011…
…00011011000000000
3121201122101221011010
412002101203120000
5101233013403340
62551021520520
7316411151100
oct60221433000
917648357133
106480606720
112826151825
12130a413140
137c3820943
14456997200
1527de1eb80
hex182463600

6480606720 has 480 divisors, whose sum is σ = 25543016928. Its totient is φ = 1392771072.

The previous prime is 6480606677. The next prime is 6480606731. The reversal of 6480606720 is 276060846.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6396934 + ... + 6397946.

Almost surely, 26480606720 is an apocalyptic number.

6480606720 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 6480606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771508464).

6480606720 is an abundant number, since it is smaller than the sum of its proper divisors (19062410208).

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

6480606720 is a wasteful number, since it uses less digits than its factorization.

6480606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 6480606720 is about 80502.2156216834. The cubic root of 6480606720 is about 1864.3976875622.

The spelling of 6480606720 in words is "six billion, four hundred eighty million, six hundred six thousand, seven hundred twenty".