8017980960 has 192 divisors, whose sum is σ = 27616619520. Its totient is φ = 1939246080.

The previous prime is 8017980953. The next prime is 8017980973. The reversal of 8017980960 is 690897108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2654331 + ... + 2657349.

It is an arithmetic number, because the mean of its divisors is an integer number (143836560).

Almost surely, 2^8017980960 is an apocalyptic number.

8017980960 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 8017980960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808309760).

8017980960 is an abundant number, since it is smaller than the sum of its proper divisors (19598638560).

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

8017980960 is a wasteful number, since it uses less digits than its factorization.

8017980960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 8017980960 is about 89543.1793047354. The cubic root of 8017980960 is about 2001.4972921118.

The spelling of 8017980960 in words is "eight billion, seventeen million, nine hundred eighty thousand, nine hundred sixty".