9576838656 has 400 divisors, whose sum is σ = 35649504000. Its totient is φ = 2486661120.

The previous prime is 9576838651. The next prime is 9576838673. The reversal of 9576838656 is 6568386759.

9576838656 is a `hidden beast` number, since 9 + 576 + 8 + 3 + 8 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 9576838593 and 9576838602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9576838651) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3191845 + ... + 3194843.

It is an arithmetic number, because the mean of its divisors is an integer number (89123760).

Almost surely, 2^9576838656 is an apocalyptic number.

9576838656 is a gapful number since it is divisible by the number (96) 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 9576838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824752000).

9576838656 is an abundant number, since it is smaller than the sum of its proper divisors (26072665344).

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

9576838656 is a wasteful number, since it uses less digits than its factorization.

9576838656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3022 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 9576838656 is about 97861.3235961991. The cubic root of 9576838656 is about 2123.6065535714.

The spelling of 9576838656 in words is "nine billion, five hundred seventy-six million, eight hundred thirty-eight thousand, six hundred fifty-six".