364320887616 has 1008 divisors, whose sum is σ = 1373547891456. Its totient is φ = 93413523456.

The previous prime is 364320887603. The next prime is 364320887617. The reversal of 364320887616 is 616788023463.

364320887616 is a `hidden beast` number, since 364 + 3 + 208 + 8 + 76 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364320887617) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1149277090 + ... + 1149277406.

Almost surely, 2^364320887616 is an apocalyptic number.

364320887616 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 364320887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686773945728).

364320887616 is an abundant number, since it is smaller than the sum of its proper divisors (1009227003840).

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

364320887616 is an equidigital number, since it uses as much as digits as its factorization.

364320887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 364320887616 in words is "three hundred sixty-four billion, three hundred twenty million, eight hundred eighty-seven thousand, six hundred sixteen".