368405040568320 has 4608 divisors, whose sum is σ = 1672306062336000. Its totient is φ = 76410613923840.

The previous prime is 368405040568277. The next prime is 368405040568363. The reversal of 368405040568320 is 23865040504863.

368405040568320 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 0 + 5 + 0 + 40 + 568 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (368405040568277) and next prime (368405040568363).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×368405040568320² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1093190031192 + ... + 1093190031528.

It is an arithmetic number, because the mean of its divisors is an integer number (362913642000).

Almost surely, 2^{368405040568320} is an apocalyptic number.

368405040568320 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 368405040568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836153031168000).

368405040568320 is an abundant number, since it is smaller than the sum of its proper divisors (1303901021767680).

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

368405040568320 is a wasteful number, since it uses less digits than its factorization.

368405040568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 368405040568320 in words is "three hundred sixty-eight trillion, four hundred five billion, forty million, five hundred sixty-eight thousand, three hundred twenty".