6986503680 has 640 divisors, whose sum is σ = 26398310400. Its totient is φ = 1560674304.

The previous prime is 6986503679. The next prime is 6986503681. The reversal of 6986503680 is 863056896.

It is an interprime number because it is at equal distance from previous prime (6986503679) and next prime (6986503681).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6986503680² = 97622467341307084800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986503681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55011777 + ... + 55011903.

It is an arithmetic number, because the mean of its divisors is an integer number (41247360).

Almost surely, 2^6986503680 is an apocalyptic number.

6986503680 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 6986503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13199155200).

6986503680 is an abundant number, since it is smaller than the sum of its proper divisors (19411806720).

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

6986503680 is a wasteful number, since it uses less digits than its factorization.

6986503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 6986503680 is about 83585.3077998759. The cubic root of 6986503680 is about 1911.7009855516.

The spelling of 6986503680 in words is "six billion, nine hundred eighty-six million, five hundred three thousand, six hundred eighty".