68496825600 has 648 divisors, whose sum is σ = 285670257600. Its totient is φ = 15651901440.

The previous prime is 68496825581. The next prime is 68496825601. The reversal of 68496825600 is 652869486.

It is a happy number.

68496825600 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 6 + 8 + 25 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68496825601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19755067 + ... + 19758533.

Almost surely, 2^68496825600 is an apocalyptic number.

68496825600 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 68496825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142835128800).

68496825600 is an abundant number, since it is smaller than the sum of its proper divisors (217173432000).

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

68496825600 is a wasteful number, since it uses less digits than its factorization.

68496825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 68496825600 in words is "sixty-eight billion, four hundred ninety-six million, eight hundred twenty-five thousand, six hundred".