68879104000 has 864 divisors, whose sum is σ = 223574223600. Its totient is φ = 21056716800.

The previous prime is 68879103947. The next prime is 68879104001. The reversal of 68879104000 is 40197886.

It is a super-3 number, since 3×68879104000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68879104001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3625215991 + ... + 3625216009.

Almost surely, 2^68879104000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68879104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111787111800).

68879104000 is an abundant number, since it is smaller than the sum of its proper divisors (154695119600).

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

68879104000 is a wasteful number, since it uses less digits than its factorization.

68879104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 68879104000 in words is "sixty-eight billion, eight hundred seventy-nine million, one hundred four thousand".