9251979264 has 432 divisors, whose sum is σ = 31406828544. Its totient is φ = 2595225600.

The previous prime is 9251979239. The next prime is 9251979313. The reversal of 9251979264 is 4629791529.

Its product of digits (2449440) is a multiple of the sum of its prime divisors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 9251979264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298450929 + ... + 298450959.

It is an arithmetic number, because the mean of its divisors is an integer number (72700992).

Almost surely, 2^9251979264 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 9251979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703414272).

9251979264 is an abundant number, since it is smaller than the sum of its proper divisors (22154849280).

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

9251979264 is a wasteful number, since it uses less digits than its factorization.

9251979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 9251979264 is about 96187.2094615495. The cubic root of 9251979264 is about 2099.3179390410.

The spelling of 9251979264 in words is "nine billion, two hundred fifty-one million, nine hundred seventy-nine thousand, two hundred sixty-four".