36978736800 has 288 divisors, whose sum is σ = 122984628480. Its totient is φ = 9648230400.

The previous prime is 36978736783. The next prime is 36978736937. The reversal of 36978736800 is 863787963.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33525049 + ... + 33526151.

It is an arithmetic number, because the mean of its divisors is an integer number (427029960).

Almost surely, 2^36978736800 is an apocalyptic number.

36978736800 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 36978736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61492314240).

36978736800 is an abundant number, since it is smaller than the sum of its proper divisors (86005891680).

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

36978736800 is a wasteful number, since it uses less digits than its factorization.

36978736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 36978736800 in words is "thirty-six billion, nine hundred seventy-eight million, seven hundred thirty-six thousand, eight hundred".