213637077504 has 800 divisors, whose sum is σ = 717624515520. Its totient is φ = 63207309312.

The previous prime is 213637077481. The next prime is 213637077517. The reversal of 213637077504 is 405770736312.

213637077504 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 3 + 70 + 77 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 213637077504.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4968304107 + ... + 4968304149.

Almost surely, 2^213637077504 is an apocalyptic number.

213637077504 is a gapful number since it is divisible by the number (24) 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 213637077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358812257760).

213637077504 is an abundant number, since it is smaller than the sum of its proper divisors (503987438016).

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

213637077504 is an frugal number, since it uses more digits than its factorization.

213637077504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 213637077504 in words is "two hundred thirteen billion, six hundred thirty-seven million, seventy-seven thousand, five hundred four".