36978614400 has 576 divisors, whose sum is σ = 152607732480. Its totient is φ = 7800791040.

The previous prime is 36978614347. The next prime is 36978614429. The reversal of 36978614400 is 441687963.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36978614400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6112177 + ... + 6118223.

It is an arithmetic number, because the mean of its divisors is an integer number (264943980).

Almost surely, 2^36978614400 is an apocalyptic number.

36978614400 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 36978614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76303866240).

36978614400 is an abundant number, since it is smaller than the sum of its proper divisors (115629118080).

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

36978614400 is a wasteful number, since it uses less digits than its factorization.

36978614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 36978614400 in words is "thirty-six billion, nine hundred seventy-eight million, six hundred fourteen thousand, four hundred".