7979664000 has 1024 divisors, whose sum is σ = 35194798080. Its totient is φ = 1548288000.

The previous prime is 7979663987. The next prime is 7979664013. The reversal of 7979664000 is 4669797.

It is an interprime number because it is at equal distance from previous prime (7979663987) and next prime (7979664013).

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 (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62831937 + ... + 62832063.

It is an arithmetic number, because the mean of its divisors is an integer number (34369920).

Almost surely, 2^7979664000 is an apocalyptic number.

7979664000 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 7979664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597399040).

7979664000 is an abundant number, since it is smaller than the sum of its proper divisors (27215134080).

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

7979664000 is a wasteful number, since it uses less digits than its factorization.

7979664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 7979664000 is about 89328.9650673285. The cubic root of 7979664000 is about 1998.3038953545.

The spelling of 7979664000 in words is "seven billion, nine hundred seventy-nine million, six hundred sixty-four thousand".