36518504400 has 720 divisors, whose sum is σ = 152534225280. Its totient is φ = 8273664000.

The previous prime is 36518504387. The next prime is 36518504411. The reversal of 36518504400 is 440581563.

It is a happy number.

36518504400 is a `hidden beast` number, since 36 + 5 + 185 + 0 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×36518504400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79908972 + ... + 79909428.

Almost surely, 2^36518504400 is an apocalyptic number.

36518504400 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 36518504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76267112640).

36518504400 is an abundant number, since it is smaller than the sum of its proper divisors (116015720880).

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

36518504400 is a wasteful number, since it uses less digits than its factorization.

36518504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 36518504400 in words is "thirty-six billion, five hundred eighteen million, five hundred four thousand, four hundred".