36648445926400 has 792 divisors, whose sum is σ = 114335131090208. Its totient is φ = 11401150464000.

The previous prime is 36648445926397. The next prime is 36648445926439. The reversal of 36648445926400 is 462954484663.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14332593922 + ... + 14332596478.

Almost surely, 2^{36648445926400} 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 36648445926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57167565545104).

36648445926400 is an abundant number, since it is smaller than the sum of its proper divisors (77686685163808).

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

36648445926400 is a wasteful number, since it uses less digits than its factorization.

36648445926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 61.

The spelling of 36648445926400 in words is "thirty-six trillion, six hundred forty-eight billion, four hundred forty-five million, nine hundred twenty-six thousand, four hundred".