6980816640 has 288 divisors, whose sum is σ = 26172357120. Its totient is φ = 1552269312.

The previous prime is 6980816617. The next prime is 6980816651. The reversal of 6980816640 is 466180896.

It is a super-2 number, since 2×6980816640² = 97463601922601779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6980816640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991051 + ... + 998069.

It is an arithmetic number, because the mean of its divisors is an integer number (90876240).

Almost surely, 2^6980816640 is an apocalyptic number.

6980816640 is a gapful number since it is divisible by the number (60) 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 6980816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086178560).

6980816640 is an abundant number, since it is smaller than the sum of its proper divisors (19191540480).

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

6980816640 is a wasteful number, since it uses less digits than its factorization.

6980816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7087 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 6980816640 is about 83551.2814982511. The cubic root of 6980816640 is about 1911.1821341712.

The spelling of 6980816640 in words is "six billion, nine hundred eighty million, eight hundred sixteen thousand, six hundred forty".