8295941680 has 160 divisors (see below), whose sum is σ = 21611116800. Its totient is φ = 2941526016.

The previous prime is 8295941677. The next prime is 8295941723. The reversal of 8295941680 is 861495928.

It is a super-2 number, since 2×8295941680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 3038556 + ... + 3041284.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480).

Almost surely, 2^8295941680 is an apocalyptic number.

8295941680 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 8295941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805558400).

8295941680 is an abundant number, since it is smaller than the sum of its proper divisors (13315175120).

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

8295941680 is a wasteful number, since it uses less digits than its factorization.

8295941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The square root of 8295941680 is about 91082.0601435870. The cubic root of 8295941680 is about 2024.3638040079.

The spelling of 8295941680 in words is "eight billion, two hundred ninety-five million, nine hundred forty-one thousand, six hundred eighty".