62790336400 has 405 divisors, whose sum is σ = 178810259187. Its totient is φ = 21168998400.

The previous prime is 62790336361. The next prime is 62790336409. The reversal of 62790336400 is 463309726.

The square root of 62790336400 is 250580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1468728976 + 61321607424 = 38324^2 + 247632^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (62790336409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 937169167 + ... + 937169233.

Almost surely, 2^62790336400 is an apocalyptic number.

62790336400 is the 250580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62790336400

62790336400 is an abundant number, since it is smaller than the sum of its proper divisors (116019922787).

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

62790336400 is a wasteful number, since it uses less digits than its factorization.

62790336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 62790336400 in words is "sixty-two billion, seven hundred ninety million, three hundred thirty-six thousand, four hundred".