368180809920 has 1344 divisors, whose sum is σ = 1664588390400. Its totient is φ = 73969459200.

The previous prime is 368180809769. The next prime is 368180809933. The reversal of 368180809920 is 29908081863.

It is a happy number.

368180809920 is a `hidden beast` number, since 368 + 180 + 80 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336852894 + ... + 336853986.

Almost surely, 2^368180809920 is an apocalyptic number.

368180809920 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 368180809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832294195200).

368180809920 is an abundant number, since it is smaller than the sum of its proper divisors (1296407580480).

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

368180809920 is a wasteful number, since it uses less digits than its factorization.

368180809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 368180809920 in words is "three hundred sixty-eight billion, one hundred eighty million, eight hundred nine thousand, nine hundred twenty".