36721635642540 has 36 divisors (see below), whose sum is σ = 111388961449584. Its totient is φ = 9792436171296.

The previous prime is 36721635642463. The next prime is 36721635642701. The reversal of 36721635642540 is 4524653612763.

36721635642540 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 1 + 6 + 3 + 56 + 42 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102004543272 + ... + 102004543631.

It is an arithmetic number, because the mean of its divisors is an integer number (3094137818044).

Almost surely, 2^{36721635642540} is an apocalyptic number.

36721635642540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36721635642540 is an abundant number, since it is smaller than the sum of its proper divisors (74667325807044).

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

36721635642540 is a wasteful number, since it uses less digits than its factorization.

36721635642540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204009086918 (or 204009086913 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

It can be divided in two parts, 367216356 and 42540, that added together give a square (367258896 = 19164²).

The spelling of 36721635642540 in words is "thirty-six trillion, seven hundred twenty-one billion, six hundred thirty-five million, six hundred forty-two thousand, five hundred forty".