68679705600 has 660 divisors, whose sum is σ = 277524366768. Its totient is φ = 16644096000.

The previous prime is 68679705599. The next prime is 68679705617. The reversal of 68679705600 is 650797686.

It is a happy number.

68679705600 is a `hidden beast` number, since 6 + 8 + 6 + 7 + 9 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is a super-2 number, since 2×68679705600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22808095 + ... + 22811105.

Almost surely, 2^68679705600 is an apocalyptic number.

68679705600 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 68679705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138762183384).

68679705600 is an abundant number, since it is smaller than the sum of its proper divisors (208844661168).

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

68679705600 is a wasteful number, since it uses less digits than its factorization.

68679705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 68679705600 in words is "sixty-eight billion, six hundred seventy-nine million, seven hundred five thousand, six hundred".