36616974666624 has 768 divisors, whose sum is σ = 127075337524800. Its totient is φ = 10335485952000.

The previous prime is 36616974666617. The next prime is 36616974666659. The reversal of 36616974666624 is 42666647961663.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 689545674 + ... + 689598774.

Almost surely, 2^{36616974666624} is an apocalyptic number.

36616974666624 is a gapful number since it is divisible by the number (34) 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 36616974666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537668762400).

36616974666624 is an abundant number, since it is smaller than the sum of its proper divisors (90458362858176).

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

36616974666624 is a wasteful number, since it uses less digits than its factorization.

36616974666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53260 (or 53231 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 72.

The spelling of 36616974666624 in words is "thirty-six trillion, six hundred sixteen billion, nine hundred seventy-four million, six hundred sixty-six thousand, six hundred twenty-four".