363667764096 has 512 divisors, whose sum is σ = 1348032000000. Its totient is φ = 95908313088.

The previous prime is 363667764067. The next prime is 363667764113. The reversal of 363667764096 is 690467766363.

363667764096 is a `hidden beast` number, since 363 + 66 + 77 + 64 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15398505 + ... + 15422103.

It is an arithmetic number, because the mean of its divisors is an integer number (2632875000).

Almost surely, 2^363667764096 is an apocalyptic number.

363667764096 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 363667764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674016000000).

363667764096 is an abundant number, since it is smaller than the sum of its proper divisors (984364235904).

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

363667764096 is a wasteful number, since it uses less digits than its factorization.

363667764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23656 (or 23624 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 363667764096 in words is "three hundred sixty-three billion, six hundred sixty-seven million, seven hundred sixty-four thousand, ninety-six".