36790308864 has 351 divisors, whose sum is σ = 113414936817. Its totient is φ = 11931992064.

The previous prime is 36790308857. The next prime is 36790308869. The reversal of 36790308864 is 46880309763.

The square root of 36790308864 is 191808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32920473600 + 3869835264 = 181440^2 + 62208^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 36790308864.

It is not an unprimeable number, because it can be changed into a prime (36790308869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 994332654 + ... + 994332690.

Almost surely, 2^36790308864 is an apocalyptic number.

36790308864 is the 191808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36790308864

36790308864 is an abundant number, since it is smaller than the sum of its proper divisors (76624627953).

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

36790308864 is an frugal number, since it uses more digits than its factorization.

36790308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 36790308864 in words is "thirty-six billion, seven hundred ninety million, three hundred eight thousand, eight hundred sixty-four".