36367904102400 has 2016 divisors, whose sum is σ = 146667455494560. Its totient is φ = 8886288384000.

The previous prime is 36367904102399. The next prime is 36367904102429. The reversal of 36367904102400 is 420140976363.

36367904102400 is a `hidden beast` number, since 3 + 6 + 367 + 9 + 0 + 41 + 0 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 116938598245 + ... + 116938598555.

It is an arithmetic number, because the mean of its divisors is an integer number (72751714035).

Almost surely, 2^{36367904102400} is an apocalyptic number.

36367904102400 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 36367904102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73333727747280).

36367904102400 is an abundant number, since it is smaller than the sum of its proper divisors (110299551392160).

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

36367904102400 is a wasteful number, since it uses less digits than its factorization.

36367904102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 36367904102400 in words is "thirty-six trillion, three hundred sixty-seven billion, nine hundred four million, one hundred two thousand, four hundred".