36200397864960 has 952 divisors, whose sum is σ = 148876418637600. Its totient is φ = 8273994448896.

The previous prime is 36200397864833. The next prime is 36200397864973. The reversal of 36200397864960 is 6946879300263.

36200397864960 is a `hidden beast` number, since 3 + 62 + 0 + 0 + 3 + 9 + 7 + 86 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1672140216 + ... + 1672161864.

Almost surely, 2^{36200397864960} is an apocalyptic number.

36200397864960 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 36200397864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74438209318800).

36200397864960 is an abundant number, since it is smaller than the sum of its proper divisors (112676020772640).

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

36200397864960 is an frugal number, since it uses more digits than its factorization.

36200397864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21711 (or 21666 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 36200397864960 in words is "thirty-six trillion, two hundred billion, three hundred ninety-seven million, eight hundred sixty-four thousand, nine hundred sixty".