36337260960 has 960 divisors, whose sum is σ = 172244185344. Its totient is φ = 6967296000.

The previous prime is 36337260893. The next prime is 36337260989. The reversal of 36337260960 is 6906273363.

36337260960 is a `hidden beast` number, since 3 + 6 + 3 + 37 + 2 + 609 + 6 + 0 = 666.

36337260960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12971560 + ... + 12974360.

Almost surely, 2^36337260960 is an apocalyptic number.

36337260960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36337260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86122092672).

36337260960 is an abundant number, since it is smaller than the sum of its proper divisors (135906924384).

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

36337260960 is a wasteful number, since it uses less digits than its factorization.

36337260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 36337260960 in words is "thirty-six billion, three hundred thirty-seven million, two hundred sixty thousand, nine hundred sixty".