36974081664 has 320 divisors, whose sum is σ = 123660915840. Its totient is φ = 10881091584.

The previous prime is 36974081663. The next prime is 36974081713. The reversal of 36974081664 is 46618047963.

It is a super-2 number, since 2×36974081664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36974081664.

It is not an unprimeable number, because it can be changed into a prime (36974081663) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3094069 + ... + 3105995.

It is an arithmetic number, because the mean of its divisors is an integer number (386440362).

Almost surely, 2^36974081664 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 36974081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61830457920).

36974081664 is an abundant number, since it is smaller than the sum of its proper divisors (86686834176).

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

36974081664 is a wasteful number, since it uses less digits than its factorization.

36974081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 36974081664 in words is "thirty-six billion, nine hundred seventy-four million, eighty-one thousand, six hundred sixty-four".