213664748400 has 360 divisors, whose sum is σ = 774151232400. Its totient is φ = 56591032320.

The previous prime is 213664748393. The next prime is 213664748411. The reversal of 213664748400 is 4847466312.

213664748400 is a `hidden beast` number, since 2 + 136 + 6 + 474 + 8 + 40 + 0 = 666.

213664748400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14475424 + ... + 14490176.

It is an arithmetic number, because the mean of its divisors is an integer number (2150420090).

Almost surely, 2^213664748400 is an apocalyptic number.

213664748400 is a gapful number since it is divisible by the number (20) 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 213664748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387075616200).

213664748400 is an abundant number, since it is smaller than the sum of its proper divisors (560486484000).

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

213664748400 is a wasteful number, since it uses less digits than its factorization.

213664748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14935 (or 14912 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 213664748400 in words is "two hundred thirteen billion, six hundred sixty-four million, seven hundred forty-eight thousand, four hundred".