68722809825600 has 672 divisors, whose sum is σ = 286503867936000. Its totient is φ = 15697362124800.

The previous prime is 68722809825589. The next prime is 68722809825641. The reversal of 68722809825600 is 652890822786.

68722809825600 is a `hidden beast` number, since 68 + 7 + 2 + 2 + 8 + 0 + 9 + 8 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447777676 + ... + 447931124.

Almost surely, 2^{68722809825600} is an apocalyptic number.

68722809825600 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 68722809825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143251933968000).

68722809825600 is an abundant number, since it is smaller than the sum of its proper divisors (217781058110400).

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

68722809825600 is a wasteful number, since it uses less digits than its factorization.

68722809825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154968 (or 154947 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 68722809825600 in words is "sixty-eight trillion, seven hundred twenty-two billion, eight hundred nine million, eight hundred twenty-five thousand, six hundred".