7818679680 has 512 divisors, whose sum is σ = 29676810240. Its totient is φ = 1713954816.

The previous prime is 7818679657. The next prime is 7818679703. The reversal of 7818679680 is 869768187.

It is an interprime number because it is at equal distance from previous prime (7818679657) and next prime (7818679703).

It is a super-2 number, since 2×7818679680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47967279 + ... + 47967441.

It is an arithmetic number, because the mean of its divisors is an integer number (57962520).

Almost surely, 2^7818679680 is an apocalyptic number.

7818679680 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 7818679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838405120).

7818679680 is an abundant number, since it is smaller than the sum of its proper divisors (21858130560).

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

7818679680 is a wasteful number, since it uses less digits than its factorization.

7818679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The square root of 7818679680 is about 88423.2982872727. The cubic root of 7818679680 is about 1984.7743573709.

The spelling of 7818679680 in words is "seven billion, eight hundred eighteen million, six hundred seventy-nine thousand, six hundred eighty".