36290562672 has 240 divisors, whose sum is σ = 121237573632. Its totient is φ = 9262149120.

The previous prime is 36290562653. The next prime is 36290562727. The reversal of 36290562672 is 27626509263.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 928713 + ... + 966999.

Almost surely, 2^36290562672 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 36290562672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60618786816).

36290562672 is an abundant number, since it is smaller than the sum of its proper divisors (84947010960).

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

36290562672 is a wasteful number, since it uses less digits than its factorization.

36290562672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38356 (or 38343 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 36290562672 in words is "thirty-six billion, two hundred ninety million, five hundred sixty-two thousand, six hundred seventy-two".