213726807360 has 1120 divisors, whose sum is σ = 869914805760. Its totient is φ = 49346150400.

The previous prime is 213726807353. The next prime is 213726807439. The reversal of 213726807360 is 63708627312.

213726807360 is a `hidden beast` number, since 21 + 3 + 7 + 268 + 0 + 7 + 360 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 11670 × 11562 × 1584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 549426046 + ... + 549426434.

It is an arithmetic number, because the mean of its divisors is an integer number (776709648).

Almost surely, 2^213726807360 is an apocalyptic number.

213726807360 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 213726807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434957402880).

213726807360 is an abundant number, since it is smaller than the sum of its proper divisors (656187998400).

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

213726807360 is a wasteful number, since it uses less digits than its factorization.

213726807360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 213726807360 in words is "two hundred thirteen billion, seven hundred twenty-six million, eight hundred seven thousand, three hundred sixty".