368663247720 has 320 divisors, whose sum is σ = 1275947758800. Its totient is φ = 95402188800.

The previous prime is 368663247709. The next prime is 368663247763. The reversal of 368663247720 is 27742366863.

368663247720 is a `hidden beast` number, since 3 + 68 + 66 + 32 + 477 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 368640836964 + 22410756 = 607158^2 + 4734^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48068046 + ... + 48075714.

Almost surely, 2^368663247720 is an apocalyptic number.

368663247720 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 368663247720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637973879400).

368663247720 is an abundant number, since it is smaller than the sum of its proper divisors (907284511080).

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

368663247720 is a wasteful number, since it uses less digits than its factorization.

368663247720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 368663247720 in words is "three hundred sixty-eight billion, six hundred sixty-three million, two hundred forty-seven thousand, seven hundred twenty".