36665972310792 has 384 divisors, whose sum is σ = 104486581987200. Its totient is φ = 10705840865280.

The previous prime is 36665972310767. The next prime is 36665972310811. The reversal of 36665972310792 is 29701327956663.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4707400434 + ... + 4707408222.

It is an arithmetic number, because the mean of its divisors is an integer number (272100473925).

Almost surely, 2^{36665972310792} 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 36665972310792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52243290993600).

36665972310792 is an abundant number, since it is smaller than the sum of its proper divisors (67820609676408).

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

36665972310792 is a wasteful number, since it uses less digits than its factorization.

36665972310792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 66.

The spelling of 36665972310792 in words is "thirty-six trillion, six hundred sixty-five billion, nine hundred seventy-two million, three hundred ten thousand, seven hundred ninety-two".