368960896571904 has 3200 divisors, whose sum is σ = 1472923426867200. Its totient is φ = 89251300638720.

The previous prime is 368960896571899. The next prime is 368960896571951. The reversal of 368960896571904 is 409175698069863.

368960896571904 is a `hidden beast` number, since 36 + 8 + 9 + 6 + 0 + 8 + 9 + 6 + 571 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×368960896571904² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 293058694027 + ... + 293058695285.

It is an arithmetic number, because the mean of its divisors is an integer number (460288570896).

Almost surely, 2^{368960896571904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368960896571904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736461713433600).

368960896571904 is an abundant number, since it is smaller than the sum of its proper divisors (1103962530295296).

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

368960896571904 is a wasteful number, since it uses less digits than its factorization.

368960896571904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 368960896571904 in words is "three hundred sixty-eight trillion, nine hundred sixty billion, eight hundred ninety-six million, five hundred seventy-one thousand, nine hundred four".