68679288600 has 768 divisors, whose sum is σ = 251983872000. Its totient is φ = 15328051200.

The previous prime is 68679288577. The next prime is 68679288607. The reversal of 68679288600 is 688297686.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68679288607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 540781737 + ... + 540781863.

It is an arithmetic number, because the mean of its divisors is an integer number (328104000).

Almost surely, 2^68679288600 is an apocalyptic number.

68679288600 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 68679288600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936000).

68679288600 is an abundant number, since it is smaller than the sum of its proper divisors (183304583400).

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

68679288600 is a wasteful number, since it uses less digits than its factorization.

68679288600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 68679288600 in words is "sixty-eight billion, six hundred seventy-nine million, two hundred eighty-eight thousand, six hundred".