8968785279264 has 144 divisors (see below), whose sum is σ = 25641170761752. Its totient is φ = 2973636624384.

The previous prime is 8968785279257. The next prime is 8968785279269. The reversal of 8968785279264 is 4629725878698.

8968785279264 is a `hidden beast` number, since 8 + 9 + 6 + 8 + 7 + 85 + 279 + 264 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6202191776400 + 2766593502864 = 2490420^2 + 1663308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8968785279269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692403412 + ... + 692416364.

Almost surely, 2^{8968785279264} 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 8968785279264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12820585380876).

8968785279264 is an abundant number, since it is smaller than the sum of its proper divisors (16672385482488).

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

8968785279264 is a wasteful number, since it uses less digits than its factorization.

8968785279264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25619 (or 25608 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 8968785279264 in words is "eight trillion, nine hundred sixty-eight billion, seven hundred eighty-five million, two hundred seventy-nine thousand, two hundred sixty-four".