6696974304 has 144 divisors (see below), whose sum is σ = 19549936224. Its totient is φ = 2173824000.

The previous prime is 6696974303. The next prime is 6696974309. The reversal of 6696974304 is 4034796966.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6696974303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1807654 + ... + 1811354.

It is an arithmetic number, because the mean of its divisors is an integer number (135763446).

Almost surely, 2^6696974304 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 6696974304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774968112).

6696974304 is an abundant number, since it is smaller than the sum of its proper divisors (12852961920).

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

6696974304 is a wasteful number, since it uses less digits than its factorization.

6696974304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 6696974304 is about 81835.0432516535. The cubic root of 6696974304 is about 1884.9198045561.

The spelling of 6696974304 in words is "six billion, six hundred ninety-six million, nine hundred seventy-four thousand, three hundred four".