365640204160 has 1024 divisors, whose sum is σ = 1179603855360. Its totient is φ = 105106636800.

The previous prime is 365640204143. The next prime is 365640204161. The reversal of 365640204160 is 61402046563.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (365640204161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5008769884 + ... + 5008769956.

It is an arithmetic number, because the mean of its divisors is an integer number (1151956890).

Almost surely, 2^365640204160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365640204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589801927680).

365640204160 is an abundant number, since it is smaller than the sum of its proper divisors (813963651200).

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

365640204160 is a wasteful number, since it uses less digits than its factorization.

365640204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 365640204160 in words is "three hundred sixty-five billion, six hundred forty million, two hundred four thousand, one hundred sixty".