368795863296 has 1152 divisors, whose sum is σ = 1364777164800. Its totient is φ = 95958466560.

The previous prime is 368795863279. The next prime is 368795863327. The reversal of 368795863296 is 692368597863.

368795863296 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 9 + 586 + 32 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2691940540 + ... + 2691940676.

It is an arithmetic number, because the mean of its divisors is an integer number (1184702400).

Almost surely, 2^368795863296 is an apocalyptic number.

368795863296 is a gapful number since it is divisible by the number (36) 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 368795863296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682388582400).

368795863296 is an abundant number, since it is smaller than the sum of its proper divisors (995981301504).

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

368795863296 is a wasteful number, since it uses less digits than its factorization.

368795863296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 368795863296 in words is "three hundred sixty-eight billion, seven hundred ninety-five million, eight hundred sixty-three thousand, two hundred ninety-six".