36731842560 has 780 divisors, whose sum is σ = 150322477032. Its totient is φ = 8294694912.

The previous prime is 36731842547. The next prime is 36731842621. The reversal of 36731842560 is 6524813763.

36731842560 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 1 + 84 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 442552279 + ... + 442552361.

Almost surely, 2^36731842560 is an apocalyptic number.

36731842560 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 36731842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75161238516).

36731842560 is an abundant number, since it is smaller than the sum of its proper divisors (113590634472).

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

36731842560 is an frugal number, since it uses more digits than its factorization.

36731842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 36731842560 in words is "thirty-six billion, seven hundred thirty-one million, eight hundred forty-two thousand, five hundred sixty".