63457668 has 120 divisors (see below), whose sum is σ = 180573624. Its totient is φ = 19353600.

The previous prime is 63457657. The next prime is 63457679. The reversal of 63457668 is 86675436.

63457668 is a `hidden beast` number, since 634 + 5 + 7 + 6 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (63457657) and next prime (63457679).

It can be written as a sum of positive squares in 4 ways, for example, as 7387524 + 56070144 = 2718^2 + 7488^2 .

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, 225688 + ... + 225968.

Almost surely, 2^63457668 is an apocalyptic number.

63457668 is a gapful number since it is divisible by the number (68) 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 63457668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90286812).

63457668 is an abundant number, since it is smaller than the sum of its proper divisors (117115956).

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

63457668 is a wasteful number, since it uses less digits than its factorization.

63457668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 63457668 is about 7966.0321365156. The cubic root of 63457668 is about 398.8669351071.

The spelling of 63457668 in words is "sixty-three million, four hundred fifty-seven thousand, six hundred sixty-eight".