62492000256 has 675 divisors, whose sum is σ = 224412041007. Its totient is φ = 17278894080.

The previous prime is 62492000251. The next prime is 62492000257. The reversal of 62492000256 is 65200029426.

The square root of 62492000256 is 249984.

It is a perfect power (a square), and thus also a powerful number.

62492000256 is a `hidden beast` number, since 624 + 9 + 2 + 0 + 0 + 0 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 62492000256.

It is not an unprimeable number, because it can be changed into a prime (62492000251) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2015870961 + ... + 2015870991.

Almost surely, 2^62492000256 is an apocalyptic number.

62492000256 is the 249984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62492000256

62492000256 is an abundant number, since it is smaller than the sum of its proper divisors (161920040751).

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

62492000256 is an frugal number, since it uses more digits than its factorization.

62492000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 62492000256 by its sum of digits (36), we get a square (2249712009216 = 1499904²).

62492000256 divided by its sum of digits (36) gives a square (1735888896 = 41664²).

The spelling of 62492000256 in words is "sixty-two billion, four hundred ninety-two million, two hundred fifty-six", and thus it is an aban number.