36364964416 has 105 divisors (see below), whose sum is σ = 79782382345. Its totient is φ = 16445623040.

The previous prime is 36364964413. The next prime is 36364964417. The reversal of 36364964416 is 61446946363.

The square root of 36364964416 is 190696.

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., 35630337600 + 734626816 = 188760^2 + 27104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36364964413) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 184593630 + ... + 184593826.

Almost surely, 2^36364964416 is an apocalyptic number.

36364964416 is the 190696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36364964416

36364964416 is an abundant number, since it is smaller than the sum of its proper divisors (43417417929).

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

36364964416 is an frugal number, since it uses more digits than its factorization.

36364964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 210 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 52.

The spelling of 36364964416 in words is "thirty-six billion, three hundred sixty-four million, nine hundred sixty-four thousand, four hundred sixteen".