36712085760 has 1152 divisors, whose sum is σ = 160903680000. Its totient is φ = 7900913664.

The previous prime is 36712085759. The next prime is 36712085777. The reversal of 36712085760 is 6758021763.

36712085760 is a `hidden beast` number, since 3 + 6 + 71 + 2 + 0 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 225227439 + ... + 225227601.

Almost surely, 2^36712085760 is an apocalyptic number.

36712085760 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 36712085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80451840000).

36712085760 is an abundant number, since it is smaller than the sum of its proper divisors (124191594240).

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

36712085760 is a wasteful number, since it uses less digits than its factorization.

36712085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 36712085760 in words is "thirty-six billion, seven hundred twelve million, eighty-five thousand, seven hundred sixty".