6967007696 has 50 divisors (see below), whose sum is σ = 14848842210. Its totient is φ = 3166715200.

The previous prime is 6967007689. The next prime is 6967007731.

It is a happy number.

6967007696 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 6769998400 + 197009296 = 82280^2 + 14036^2 .

It is a super-2 number, since 2×6967007696² = 97078392472246456832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 219386 + ... + 249126.

Almost surely, 2^6967007696 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 6967007696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424421105).

6967007696 is an abundant number, since it is smaller than the sum of its proper divisors (7881834514).

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

6967007696 is an equidigital number, since it uses as much as digits as its factorization.

6967007696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29793 (or 29754 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 56.

The square root of 6967007696 is about 83468.6030552806. The cubic root of 6967007696 is about 1909.9211151324.

The spelling of 6967007696 in words is "six billion, nine hundred sixty-seven million, seven thousand, six hundred ninety-six".