36618938400 has 576 divisors, whose sum is σ = 138906109440. Its totient is φ = 8280883200.

The previous prime is 36618938371. The next prime is 36618938401. The reversal of 36618938400 is 483981663.

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 36618938400.

It is not an unprimeable number, because it can be changed into a prime (36618938401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 62382907 + ... + 62383493.

It is an arithmetic number, because the mean of its divisors is an integer number (241156440).

Almost surely, 2^36618938400 is an apocalyptic number.

36618938400 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 36618938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69453054720).

36618938400 is an abundant number, since it is smaller than the sum of its proper divisors (102287171040).

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

36618938400 is a wasteful number, since it uses less digits than its factorization.

36618938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 36618938400 in words is "thirty-six billion, six hundred eighteen million, nine hundred thirty-eight thousand, four hundred".