62496725760 has 432 divisors, whose sum is σ = 248970286656. Its totient is φ = 14178189312.

The previous prime is 62496725749. The next prime is 62496725771. The reversal of 62496725760 is 6752769426.

62496725760 is a `hidden beast` number, since 6 + 2 + 4 + 9 + 67 + 2 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (62496725749) and next prime (62496725771).

It is a junction number, because it is equal to n+sod(n) for n = 62496725697 and 62496725706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11044852 + ... + 11050508.

It is an arithmetic number, because the mean of its divisors is an integer number (576320108).

Almost surely, 2^62496725760 is an apocalyptic number.

62496725760 is a gapful number since it is divisible by the number (60) 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 62496725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124485143328).

62496725760 is an abundant number, since it is smaller than the sum of its proper divisors (186473560896).

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

62496725760 is a wasteful number, since it uses less digits than its factorization.

62496725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5828 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 62496725760 in words is "sixty-two billion, four hundred ninety-six million, seven hundred twenty-five thousand, seven hundred sixty".