36638878696800 has 288 divisors, whose sum is σ = 123145868160000. Its totient is φ = 9452181043200.

The previous prime is 36638878696753. The next prime is 36638878696817. The reversal of 36638878696800 is 869687883663.

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 47 ways as a sum of consecutive naturals, for example, 238226326 + ... + 238380074.

It is an arithmetic number, because the mean of its divisors is an integer number (427589820000).

Almost surely, 2^{36638878696800} is an apocalyptic number.

36638878696800 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 36638878696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61572934080000).

36638878696800 is an abundant number, since it is smaller than the sum of its proper divisors (86506989463200).

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

36638878696800 is a wasteful number, since it uses less digits than its factorization.

36638878696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157006 (or 156993 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 78.

The spelling of 36638878696800 in words is "thirty-six trillion, six hundred thirty-eight billion, eight hundred seventy-eight million, six hundred ninety-six thousand, eight hundred".