9956956464 has 480 divisors, whose sum is σ = 35866148864. Its totient is φ = 2508226560.

The previous prime is 9956956463. The next prime is 9956956573. The reversal of 9956956464 is 4646596599.

9956956464 is a `hidden beast` number, since 9 + 9 + 5 + 6 + 9 + 564 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9956956463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51590352 + ... + 51590544.

Almost surely, 2^9956956464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9956956464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933074432).

9956956464 is an abundant number, since it is smaller than the sum of its proper divisors (25909192400).

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

9956956464 is a wasteful number, since it uses less digits than its factorization.

9956956464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The square root of 9956956464 is about 99784.5502269765. The cubic root of 9956956464 is about 2151.3390946907.

The spelling of 9956956464 in words is "nine billion, nine hundred fifty-six million, nine hundred fifty-six thousand, four hundred sixty-four".