36642174750720 has 6656 divisors, whose sum is σ = 187838937169920. Its totient is φ = 6539968512000.

The previous prime is 36642174750641. The next prime is 36642174750757. The reversal of 36642174750720 is 2705747124663.

36642174750720 is a `hidden beast` number, since 3 + 6 + 6 + 42 + 1 + 74 + 7 + 507 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 516086968285 + ... + 516086968355.

Almost surely, 2^{36642174750720} is an apocalyptic number.

36642174750720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36642174750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93919468584960).

36642174750720 is an abundant number, since it is smaller than the sum of its proper divisors (151196762419200).

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

36642174750720 is a wasteful number, since it uses less digits than its factorization.

36642174750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 36642174750720 in words is "thirty-six trillion, six hundred forty-two billion, one hundred seventy-four million, seven hundred fifty thousand, seven hundred twenty".