68753664 has 288 divisors, whose sum is σ = 245280000. Its totient is φ = 18966528.

The previous prime is 68753653. The next prime is 68753677. The reversal of 68753664 is 46635786.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 2370802 + ... + 2370830.

Almost surely, 2^68753664 is an apocalyptic number.

68753664 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 68753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122640000).

68753664 is an abundant number, since it is smaller than the sum of its proper divisors (176526336).

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

68753664 is an equidigital number, since it uses as much as digits as its factorization.

68753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

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

The square root of 68753664 is about 8291.7829204581. The cubic root of 68753664 is about 409.6679127302.

The spelling of 68753664 in words is "sixty-eight million, seven hundred fifty-three thousand, six hundred sixty-four".