213747793920 has 512 divisors, whose sum is σ = 766916784000. Its totient is φ = 56481546240.

The previous prime is 213747793873. The next prime is 213747793979. The reversal of 213747793920 is 29397747312.

213747793920 is a `hidden beast` number, since 2 + 137 + 477 + 9 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 933396366 + ... + 933396594.

Almost surely, 2^213747793920 is an apocalyptic number.

213747793920 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 213747793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383458392000).

213747793920 is an abundant number, since it is smaller than the sum of its proper divisors (553168990080).

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

213747793920 is an equidigital number, since it uses as much as digits as its factorization.

213747793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 213747793920 in words is "two hundred thirteen billion, seven hundred forty-seven million, seven hundred ninety-three thousand, nine hundred twenty".