62642490624 has 432 divisors, whose sum is σ = 217507763200. Its totient is φ = 17313730560.

The previous prime is 62642490623. The next prime is 62642490637. The reversal of 62642490624 is 42609424626.

62642490624 is a `hidden beast` number, since 62 + 6 + 42 + 490 + 62 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 62642490624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62642490623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24497154 + ... + 24499710.

Almost surely, 2^62642490624 is an apocalyptic number.

62642490624 is a gapful number since it is divisible by the number (64) 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 62642490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108753881600).

62642490624 is an abundant number, since it is smaller than the sum of its proper divisors (154865272576).

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

62642490624 is a wasteful number, since it uses less digits than its factorization.

62642490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 62642490624 in words is "sixty-two billion, six hundred forty-two million, four hundred ninety thousand, six hundred twenty-four".