68226079680 has 1008 divisors, whose sum is σ = 277629835392. Its totient is φ = 15813273600.

The previous prime is 68226079679. The next prime is 68226079729. The reversal of 68226079680 is 8697062286.

68226079680 is a `hidden beast` number, since 6 + 8 + 22 + 607 + 9 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 822000919 + ... + 822001001.

It is an arithmetic number, because the mean of its divisors is an integer number (275426424).

Almost surely, 2^68226079680 is an apocalyptic number.

68226079680 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 68226079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138814917696).

68226079680 is an abundant number, since it is smaller than the sum of its proper divisors (209403755712).

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

68226079680 is a wasteful number, since it uses less digits than its factorization.

68226079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 68226079680 in words is "sixty-eight billion, two hundred twenty-six million, seventy-nine thousand, six hundred eighty".