368540928000 has 960 divisors, whose sum is σ = 1570679510400. Its totient is φ = 84204748800.

The previous prime is 368540927981. The next prime is 368540928109. The reversal of 368540928000 is 829045863.

368540928000 is a `hidden beast` number, since 368 + 5 + 4 + 0 + 9 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×368540928000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145150731 + ... + 145153269.

It is an arithmetic number, because the mean of its divisors is an integer number (1636124490).

Almost surely, 2^368540928000 is an apocalyptic number.

368540928000 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 368540928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785339755200).

368540928000 is an abundant number, since it is smaller than the sum of its proper divisors (1202138582400).

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

368540928000 is an equidigital number, since it uses as much as digits as its factorization.

368540928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 368540928000 in words is "three hundred sixty-eight billion, five hundred forty million, nine hundred twenty-eight thousand".