8093479680 has 864 divisors, whose sum is σ = 34953871680. Its totient is φ = 1704591360.

The previous prime is 8093479673. The next prime is 8093479699. The reversal of 8093479680 is 869743908.

8093479680 is a `hidden beast` number, since 8 + 0 + 93 + 479 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476087032 + ... + 476087048.

It is an arithmetic number, because the mean of its divisors is an integer number (40455870).

Almost surely, 2^8093479680 is an apocalyptic number.

8093479680 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 8093479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476935840).

8093479680 is an abundant number, since it is smaller than the sum of its proper divisors (26860392000).

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

8093479680 is a wasteful number, since it uses less digits than its factorization.

8093479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 8093479680 is about 89963.7687071857. The cubic root of 8093479680 is about 2007.7598269382.

The spelling of 8093479680 in words is "eight billion, ninety-three million, four hundred seventy-nine thousand, six hundred eighty".