7679279560 has 64 divisors (see below), whose sum is σ = 18232387200. Its totient is φ = 2905115136.

The previous prime is 7679279539. The next prime is 7679279563. The reversal of 7679279560 is 659729767.

It is a junction number, because it is equal to n+sod(n) for n = 7679279495 and 7679279504.

It is not an unprimeable number, because it can be changed into a prime (7679279563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34987 + ... + 128773.

It is an arithmetic number, because the mean of its divisors is an integer number (284881050).

Almost surely, 2^7679279560 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 7679279560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116193600).

7679279560 is an abundant number, since it is smaller than the sum of its proper divisors (10553107640).

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

7679279560 is a wasteful number, since it uses less digits than its factorization.

7679279560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93910 (or 93906 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 58.

The square root of 7679279560 is about 87631.4986748486. The cubic root of 7679279560 is about 1972.9079645551.

The spelling of 7679279560 in words is "seven billion, six hundred seventy-nine million, two hundred seventy-nine thousand, five hundred sixty".