6983661672 has 256 divisors, whose sum is σ = 22121164800. Its totient is φ = 2025112320.

The previous prime is 6983661647. The next prime is 6983661689. The reversal of 6983661672 is 2761663896.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 4584703 + ... + 4586225.

It is an arithmetic number, because the mean of its divisors is an integer number (86410800).

Almost surely, 2^6983661672 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 6983661672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060582400).

6983661672 is an abundant number, since it is smaller than the sum of its proper divisors (15137503128).

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

6983661672 is a wasteful number, since it uses less digits than its factorization.

6983661672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1635 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 6983661672 is about 83568.3054273568. The cubic root of 6983661672 is about 1911.4417330171.

The spelling of 6983661672 in words is "six billion, nine hundred eighty-three million, six hundred sixty-one thousand, six hundred seventy-two".