7989295680 has 336 divisors, whose sum is σ = 28757514240. Its totient is φ = 2111090688.

The previous prime is 7989295679. The next prime is 7989295697. The reversal of 7989295680 is 865929897.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9875116 + ... + 9875924.

It is an arithmetic number, because the mean of its divisors is an integer number (85587840).

Almost surely, 2^7989295680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7989295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

7989295680 is an abundant number, since it is smaller than the sum of its proper divisors (20768218560).

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

7989295680 is a wasteful number, since it uses less digits than its factorization.

7989295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 7989295680 is about 89382.8601019233. The cubic root of 7989295680 is about 1999.1075751815.

It can be divided in two parts, 798929 and 5680, that added together give a square (804609 = 897²).

The spelling of 7989295680 in words is "seven billion, nine hundred eighty-nine million, two hundred ninety-five thousand, six hundred eighty".