36975737120 has 144 divisors (see below), whose sum is σ = 107595122040. Its totient is φ = 11931623424.

The previous prime is 36975737077. The next prime is 36975737143. The reversal of 36975737120 is 2173757963.

36975737120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23880139024 + 13095598096 = 154532^2 + 114436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5435 + ... + 271994.

Almost surely, 2^36975737120 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 36975737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53797561020).

36975737120 is an abundant number, since it is smaller than the sum of its proper divisors (70619384920).

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

36975737120 is a wasteful number, since it uses less digits than its factorization.

36975737120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277475 (or 277460 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 50.

The spelling of 36975737120 in words is "thirty-six billion, nine hundred seventy-five million, seven hundred thirty-seven thousand, one hundred twenty".