6967608864 has 96 divisors (see below), whose sum is σ = 19440046080. Its totient is φ = 2178876672.

The previous prime is 6967608863. The next prime is 6967608877. The reversal of 6967608864 is 4688067696.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 6967608798 and 6967608807.

It is not an unprimeable number, because it can be changed into a prime (6967608863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169329 + ... + 206415.

It is an arithmetic number, because the mean of its divisors is an integer number (202500480).

Almost surely, 2^6967608864 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 6967608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720023040).

6967608864 is an abundant number, since it is smaller than the sum of its proper divisors (12472437216).

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

6967608864 is a wasteful number, since it uses less digits than its factorization.

6967608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37222 (or 37214 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The square root of 6967608864 is about 83472.2041400609. The cubic root of 6967608864 is about 1909.9760478708.

The spelling of 6967608864 in words is "six billion, nine hundred sixty-seven million, six hundred eight thousand, eight hundred sixty-four".