36727116800 has 132 divisors (see below), whose sum is σ = 99315789216. Its totient is φ = 13355212800.

The previous prime is 36727116779. The next prime is 36727116859. The reversal of 36727116800 is 861172763.

It is a super-2 number, since 2×36727116800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216389 + ... + 346811.

Almost surely, 2^36727116800 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 36727116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49657894608).

36727116800 is an abundant number, since it is smaller than the sum of its proper divisors (62588672416).

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

36727116800 is a wasteful number, since it uses less digits than its factorization.

36727116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130464 (or 130441 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 36727116800 in words is "thirty-six billion, seven hundred twenty-seven million, one hundred sixteen thousand, eight hundred".