62730402048 has 360 divisors, whose sum is σ = 196288692600. Its totient is φ = 19898597376.

The previous prime is 62730401983. The next prime is 62730402079. The reversal of 62730402048 is 84020403726.

62730402048 is a `hidden beast` number, since 627 + 3 + 0 + 4 + 0 + 20 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1954347264 + 60776054784 = 44208^2 + 246528^2 .

It is a super-2 number, since 2×62730402048² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43897398 + ... + 43898826.

Almost surely, 2^62730402048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62730402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98144346300).

62730402048 is an abundant number, since it is smaller than the sum of its proper divisors (133558290552).

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

62730402048 is a wasteful number, since it uses less digits than its factorization.

62730402048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 62730402048 in words is "sixty-two billion, seven hundred thirty million, four hundred two thousand, forty-eight".