8861395968 has 264 divisors, whose sum is σ = 26696155200. Its totient is φ = 2828722176.

The previous prime is 8861395967. The next prime is 8861396029. The reversal of 8861395968 is 8695931688.

8861395968 is a `hidden beast` number, since 8 + 8 + 6 + 1 + 39 + 596 + 8 = 666.

Its product of digits (22394880) is a multiple of the sum of its prime divisors (486).

It is not an unprimeable number, because it can be changed into a prime (8861395967) 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, 23380803 + ... + 23381181.

It is an arithmetic number, because the mean of its divisors is an integer number (101121800).

Almost surely, 2^8861395968 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 8861395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348077600).

8861395968 is an abundant number, since it is smaller than the sum of its proper divisors (17834759232).

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

8861395968 is a wasteful number, since it uses less digits than its factorization.

8861395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The square root of 8861395968 is about 94134.9880118970. The cubic root of 8861395968 is about 2069.3504592293.

The spelling of 8861395968 in words is "eight billion, eight hundred sixty-one million, three hundred ninety-five thousand, nine hundred sixty-eight".