364120810560 has 168 divisors, whose sum is σ = 1348764307800. Its totient is φ = 89629728768.

The previous prime is 364120810523. The next prime is 364120810567. The reversal of 364120810560 is 65018021463.

It is a happy number.

364120810560 is a `hidden beast` number, since 3 + 6 + 4 + 12 + 0 + 81 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 743325696 + 363377484864 = 27264^2 + 602808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (364120810567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4825285 + ... + 4900164.

It is an arithmetic number, because the mean of its divisors is an integer number (8028358975).

Almost surely, 2^364120810560 is an apocalyptic number.

364120810560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

364120810560 is an abundant number, since it is smaller than the sum of its proper divisors (984643497240).

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

364120810560 is a wasteful number, since it uses less digits than its factorization.

364120810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725485 (or 9725472 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 364120810560 in words is "three hundred sixty-four billion, one hundred twenty million, eight hundred ten thousand, five hundred sixty".