9629256672 has 120 divisors (see below), whose sum is σ = 32365062576. Its totient is φ = 2751211008.

The previous prime is 9629256641. The next prime is 9629256701. The reversal of 9629256672 is 2766529269.

It is a happy number.

9629256672 is a `hidden beast` number, since 9 + 6 + 2 + 9 + 2 + 566 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 247213 + ... + 283500.

Almost surely, 2^9629256672 is an apocalyptic number.

It is an amenable number.

9629256672 is an abundant number, since it is smaller than the sum of its proper divisors (22735805904).

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

9629256672 is a wasteful number, since it uses less digits than its factorization.

9629256672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530742 (or 530725 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 9629256672 is about 98128.7759630171. The cubic root of 9629256672 is about 2127.4739664025.

The spelling of 9629256672 in words is "nine billion, six hundred twenty-nine million, two hundred fifty-six thousand, six hundred seventy-two".