8616392064 has 768 divisors, whose sum is σ = 32525841600. Its totient is φ = 2229534720.

The previous prime is 8616392021. The next prime is 8616392173. The reversal of 8616392064 is 4602936168.

8616392064 is a `hidden beast` number, since 8 + 6 + 1 + 639 + 2 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118032732 + ... + 118032804.

Almost surely, 2^8616392064 is an apocalyptic number.

8616392064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8616392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262920800).

8616392064 is an abundant number, since it is smaller than the sum of its proper divisors (23909449536).

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

8616392064 is a wasteful number, since it uses less digits than its factorization.

8616392064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8616392064 is about 92824.5229667247. The cubic root of 8616392064 is about 2050.1004958864.

The spelling of 8616392064 in words is "eight billion, six hundred sixteen million, three hundred ninety-two thousand, sixty-four".