36673756480000 has 100 divisors (see below), whose sum is σ = 91565546106870. Its totient is φ = 14669502464000.

The previous prime is 36673756479869. The next prime is 36673756480019. The reversal of 36673756480000 is 8465737663.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 8214689712384 + 28459066767616 = 2866128^2 + 5334704^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 56982745 + ... + 57622744.

Almost surely, 2^{36673756480000} is an apocalyptic number.

It is an amenable number.

36673756480000 is an abundant number, since it is smaller than the sum of its proper divisors (54891789626870).

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

36673756480000 is an frugal number, since it uses more digits than its factorization.

36673756480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114605527 (or 114605496 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 36673756480000 in words is "thirty-six trillion, six hundred seventy-three billion, seven hundred fifty-six million, four hundred eighty thousand".