36633074688 has 704 divisors, whose sum is σ = 131584435200. Its totient is φ = 9847111680.

The previous prime is 36633074651. The next prime is 36633074711. The reversal of 36633074688 is 88647033663.

It is a super-2 number, since 2×36633074688² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342365131 + ... + 342365237.

Almost surely, 2^36633074688 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 36633074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65792217600).

36633074688 is an abundant number, since it is smaller than the sum of its proper divisors (94951360512).

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

36633074688 is a wasteful number, since it uses less digits than its factorization.

36633074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 36633074688 in words is "thirty-six billion, six hundred thirty-three million, seventy-four thousand, six hundred eighty-eight".