368740856880 has 1440 divisors, whose sum is σ = 1546413523200. Its totient is φ = 77834649600.

The previous prime is 368740856879. The next prime is 368740856921. The reversal of 368740856880 is 88658047863.

368740856880 is a `hidden beast` number, since 3 + 68 + 7 + 4 + 0 + 8 + 568 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2652811851 + ... + 2652811989.

It is an arithmetic number, because the mean of its divisors is an integer number (1073898280).

Almost surely, 2^368740856880 is an apocalyptic number.

368740856880 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 368740856880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773206761600).

368740856880 is an abundant number, since it is smaller than the sum of its proper divisors (1177672666320).

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

368740856880 is a wasteful number, since it uses less digits than its factorization.

368740856880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 368740856880 in words is "three hundred sixty-eight billion, seven hundred forty million, eight hundred fifty-six thousand, eight hundred eighty".