213976264320 has 768 divisors, whose sum is σ = 948991680000. Its totient is φ = 43181309952.

The previous prime is 213976264289. The next prime is 213976264349. The reversal of 213976264320 is 23462679312.

213976264320 is a `hidden beast` number, since 2 + 13 + 9 + 7 + 626 + 4 + 3 + 2 + 0 = 666.

213976264320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12046806 + ... + 12064554.

It is an arithmetic number, because the mean of its divisors is an integer number (1235666250).

Almost surely, 2^213976264320 is an apocalyptic number.

213976264320 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 213976264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474495840000).

213976264320 is an abundant number, since it is smaller than the sum of its proper divisors (735015415680).

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

213976264320 is a wasteful number, since it uses less digits than its factorization.

213976264320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17817 (or 17802 counting only the distinct ones).

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

The spelling of 213976264320 in words is "two hundred thirteen billion, nine hundred seventy-six million, two hundred sixty-four thousand, three hundred twenty".