6966679104 has 560 divisors, whose sum is σ = 26624987136. Its totient is φ = 1748044800.

The previous prime is 6966679091. The next prime is 6966679127. The reversal of 6966679104 is 4019766696.

It is a super-2 number, since 2×6966679104² = 97069235476220485632, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12373927 + ... + 12374489.

Almost surely, 2^6966679104 is an apocalyptic number.

6966679104 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 6966679104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312493568).

6966679104 is an abundant number, since it is smaller than the sum of its proper divisors (19658308032).

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

6966679104 is a wasteful number, since it uses less digits than its factorization.

6966679104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6966679104 is about 83466.6346751802. The cubic root of 6966679104 is about 1909.8910881494.

The spelling of 6966679104 in words is "six billion, nine hundred sixty-six million, six hundred seventy-nine thousand, one hundred four".