6983290656 has 144 divisors (see below), whose sum is σ = 20176490880. Its totient is φ = 2290752000.

The previous prime is 6983290649. The next prime is 6983290661. The reversal of 6983290656 is 6560923896.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 9298281 + ... + 9299031.

It is an arithmetic number, because the mean of its divisors is an integer number (140114520).

Almost surely, 2^6983290656 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 6983290656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088245440).

6983290656 is an abundant number, since it is smaller than the sum of its proper divisors (13193200224).

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

6983290656 is a wasteful number, since it uses less digits than its factorization.

6983290656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 6983290656 is about 83566.0855610696. The cubic root of 6983290656 is about 1911.4078831516.

The spelling of 6983290656 in words is "six billion, nine hundred eighty-three million, two hundred ninety thousand, six hundred fifty-six".