8728920391680 has 1020 divisors, whose sum is σ = 33064582823712. Its totient is φ = 2202780303360.

The previous prime is 8728920391651. The next prime is 8728920391703. The reversal of 8728920391680 is 861930298278.

8728920391680 is a `hidden beast` number, since 8 + 7 + 289 + 203 + 91 + 68 + 0 = 666.

It is a super-2 number, since 2×8728920391680² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9581690425 + ... + 9581691335.

Almost surely, 2^{8728920391680} is an apocalyptic number.

8728920391680 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 8728920391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16532291411856).

8728920391680 is an abundant number, since it is smaller than the sum of its proper divisors (24335662432032).

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

8728920391680 is an frugal number, since it uses more digits than its factorization.

8728920391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 8728920391680 in words is "eight trillion, seven hundred twenty-eight billion, nine hundred twenty million, three hundred ninety-one thousand, six hundred eighty".