368364775680 has 720 divisors, whose sum is σ = 1446987858624. Its totient is φ = 88736808960.

The previous prime is 368364775661. The next prime is 368364775703. The reversal of 368364775680 is 86577463863.

368364775680 is a `hidden beast` number, since 3 + 6 + 8 + 3 + 64 + 7 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197302107 + ... + 197303973.

Almost surely, 2^368364775680 is an apocalyptic number.

368364775680 is a gapful number since it is divisible by the number (30) 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 368364775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723493929312).

368364775680 is an abundant number, since it is smaller than the sum of its proper divisors (1078623082944).

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

368364775680 is a wasteful number, since it uses less digits than its factorization.

368364775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 368364775680 in words is "three hundred sixty-eight billion, three hundred sixty-four million, seven hundred seventy-five thousand, six hundred eighty".