715635648 has 560 divisors, whose sum is σ = 2746881984. Its totient is φ = 179159040.

The previous prime is 715635623. The next prime is 715635649. The reversal of 715635648 is 846536517.

715635648 is a `hidden beast` number, since 7 + 1 + 5 + 635 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715635649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17454508 + ... + 17454548.

Almost surely, 2^715635648 is an apocalyptic number.

715635648 is a gapful number since it is divisible by the number (78) 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 715635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373440992).

715635648 is an abundant number, since it is smaller than the sum of its proper divisors (2031246336).

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

715635648 is a wasteful number, since it uses less digits than its factorization.

715635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 715635648 is about 26751.3672173966. The cubic root of 715635648 is about 894.4663122888.

The spelling of 715635648 in words is "seven hundred fifteen million, six hundred thirty-five thousand, six hundred forty-eight".