6983938624 has 56 divisors (see below), whose sum is σ = 14976271800. Its totient is φ = 3212242944.

The previous prime is 6983938597. The next prime is 6983938651. The reversal of 6983938624 is 4268393896.

It is an interprime number because it is at equal distance from previous prime (6983938597) and next prime (6983938651).

It can be written as a sum of positive squares in 4 ways, for example, as 1333710400 + 5650228224 = 36520^2 + 75168^2 .

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 7 ways as a sum of consecutive naturals, for example, 229452 + ... + 258100.

It is an arithmetic number, because the mean of its divisors is an integer number (267433425).

Almost surely, 2^6983938624 is an apocalyptic number.

6983938624 is a gapful number since it is divisible by the number (64) 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 6983938624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488135900).

6983938624 is an abundant number, since it is smaller than the sum of its proper divisors (7992333176).

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

6983938624 is a wasteful number, since it uses less digits than its factorization.

6983938624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28967 (or 28957 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 58.

The square root of 6983938624 is about 83569.9624506317. The cubic root of 6983938624 is about 1911.4670001161.

The spelling of 6983938624 in words is "six billion, nine hundred eighty-three million, nine hundred thirty-eight thousand, six hundred twenty-four".