8100679068800 has 384 divisors, whose sum is σ = 20502436331520. Its totient is φ = 3162032640000.

The previous prime is 8100679068793. The next prime is 8100679068857. The reversal of 8100679068800 is 88609760018.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7037948225 + ... + 7037949375.

It is an arithmetic number, because the mean of its divisors is an integer number (53391761280).

Almost surely, 2^{8100679068800} is an apocalyptic number.

8100679068800 is a gapful number since it is divisible by the number (80) 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 8100679068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10251218165760).

8100679068800 is an abundant number, since it is smaller than the sum of its proper divisors (12401757262720).

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

8100679068800 is a wasteful number, since it uses less digits than its factorization.

8100679068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 8100679068800 in words is "eight trillion, one hundred billion, six hundred seventy-nine million, sixty-eight thousand, eight hundred".