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6620736960 = 2633519311301
BaseRepresentation
bin1100010101010000…
…00110110111000000
3122002102002021201000
412022220012313000
5102024402040320
63012545212000
7323032223055
oct61250066700
918072067630
106620736960
112898262742
121349331000
13816875346
1446b43302c
1528b39ec90
hex18aa06dc0

6620736960 has 448 divisors, whose sum is σ = 25398374400. Its totient is φ = 1617408000.

The previous prime is 6620736953. The next prime is 6620737003. The reversal of 6620736960 is 696370266.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 5088310 + ... + 5089610.

It is an arithmetic number, because the mean of its divisors is an integer number (56692800).

Almost surely, 26620736960 is an apocalyptic number.

6620736960 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 6620736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699187200).

6620736960 is an abundant number, since it is smaller than the sum of its proper divisors (18777637440).

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

6620736960 is a wasteful number, since it uses less digits than its factorization.

6620736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6620736960 is about 81367.9111198020. The cubic root of 6620736960 is about 1877.7399429631.

The spelling of 6620736960 in words is "six billion, six hundred twenty million, seven hundred thirty-six thousand, nine hundred sixty".