68465664 has 264 divisors, whose sum is σ = 229919040. Its totient is φ = 19464192.

The previous prime is 68465633. The next prime is 68465671. The reversal of 68465664 is 46656486.

68465664 is a `hidden beast` number, since 6 + 84 + 6 + 566 + 4 = 666.

Its product of digits (829440) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976757 + ... + 2976779.

Almost surely, 2^68465664 is an apocalyptic number.

68465664 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 68465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114959520).

68465664 is an abundant number, since it is smaller than the sum of its proper divisors (161453376).

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

68465664 is a wasteful number, since it uses less digits than its factorization.

68465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 68465664 is about 8274.3981049983. The cubic root of 68465664 is about 409.0950972770.

The spelling of 68465664 in words is "sixty-eight million, four hundred sixty-five thousand, six hundred sixty-four".