6967887696 has 240 divisors, whose sum is σ = 24395724288. Its totient is φ = 1803628800.

The previous prime is 6967887679. The next prime is 6967887709.

6967887696 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3846631 + ... + 3848441.

Almost surely, 2^6967887696 is an apocalyptic number.

6967887696 is a gapful number since it is divisible by the number (66) 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 6967887696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197862144).

6967887696 is an abundant number, since it is smaller than the sum of its proper divisors (17427836592).

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

6967887696 is a wasteful number, since it uses less digits than its factorization.

6967887696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2181 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The square root of 6967887696 is about 83473.8743320328. The cubic root of 6967887696 is about 1910.0015255418.

The spelling of 6967887696 in words is "six billion, nine hundred sixty-seven million, eight hundred eighty-seven thousand, six hundred ninety-six".