36724133766160 has 40 divisors (see below), whose sum is σ = 85598683148376. Its totient is φ = 14652651847680.

The previous prime is 36724133766157. The next prime is 36724133766179. The reversal of 36724133766160 is 6166733142763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1035314390016 + 35688819376144 = 1017504^2 + 5974012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×36724133766160² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578118961 + ... + 578182480.

Almost surely, 2^{36724133766160} is an apocalyptic number.

It is an amenable number.

36724133766160 is an abundant number, since it is smaller than the sum of its proper divisors (48874549382216).

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

36724133766160 is a wasteful number, since it uses less digits than its factorization.

36724133766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156301851 (or 1156301845 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 55.

The spelling of 36724133766160 in words is "thirty-six trillion, seven hundred twenty-four billion, one hundred thirty-three million, seven hundred sixty-six thousand, one hundred sixty".