7959379680 has 576 divisors, whose sum is σ = 34128864000. Its totient is φ = 1722663936.

The previous prime is 7959379619. The next prime is 7959379691. The reversal of 7959379680 is 869739597.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4020931 + ... + 4022909.

It is an arithmetic number, because the mean of its divisors is an integer number (59251500).

Almost surely, 2^7959379680 is an apocalyptic number.

7959379680 is a gapful number since it is divisible by the number (70) 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 7959379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064432000).

7959379680 is an abundant number, since it is smaller than the sum of its proper divisors (26169484320).

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

7959379680 is a wasteful number, since it uses less digits than its factorization.

7959379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The square root of 7959379680 is about 89215.3556289499. The cubic root of 7959379680 is about 1996.6092279144.

The spelling of 7959379680 in words is "seven billion, nine hundred fifty-nine million, three hundred seventy-nine thousand, six hundred eighty".