6960420864 has 144 divisors (see below), whose sum is σ = 20333640600. Its totient is φ = 2293530624.

The previous prime is 6960420851. The next prime is 6960420989. The reversal of 6960420864 is 4680240696.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638327 + ... + 1642569.

Almost surely, 2^6960420864 is an apocalyptic number.

6960420864 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 6960420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10166820300).

6960420864 is an abundant number, since it is smaller than the sum of its proper divisors (13373219736).

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

6960420864 is a wasteful number, since it uses less digits than its factorization.

6960420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6960420864 is about 83429.1367808633. The cubic root of 6960420864 is about 1909.3190251694.

The spelling of 6960420864 in words is "six billion, nine hundred sixty million, four hundred twenty thousand, eight hundred sixty-four".