368680586400 has 324 divisors, whose sum is σ = 1512316045422. Its totient is φ = 84269767680.

The previous prime is 368680586369. The next prime is 368680586437. The reversal of 368680586400 is 4685086863.

368680586400 is a `hidden beast` number, since 3 + 6 + 86 + 80 + 5 + 86 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 358805792016 + 9874794384 = 599004^2 + 99372^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 169707 + ... + 875306.

Almost surely, 2^368680586400 is an apocalyptic number.

368680586400 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 368680586400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756158022711).

368680586400 is an abundant number, since it is smaller than the sum of its proper divisors (1143635459022).

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

368680586400 is a wasteful number, since it uses less digits than its factorization.

368680586400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045053 (or 1045030 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 368680586400 in words is "three hundred sixty-eight billion, six hundred eighty million, five hundred eighty-six thousand, four hundred".