8157983680 has 224 divisors, whose sum is σ = 24517624320. Its totient is φ = 2511482880.

The previous prime is 8157983663. The next prime is 8157983711. The reversal of 8157983680 is 863897518.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2043126 + ... + 2047114.

It is an arithmetic number, because the mean of its divisors is an integer number (109453680).

Almost surely, 2^8157983680 is an apocalyptic number.

8157983680 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 8157983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258812160).

8157983680 is an abundant number, since it is smaller than the sum of its proper divisors (16359640640).

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

8157983680 is a wasteful number, since it uses less digits than its factorization.

8157983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4097 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The square root of 8157983680 is about 90321.5571167814. The cubic root of 8157983680 is about 2013.0795824617.

The spelling of 8157983680 in words is "eight billion, one hundred fifty-seven million, nine hundred eighty-three thousand, six hundred eighty".