7969466880 has 480 divisors, whose sum is σ = 29920834944. Its totient is φ = 2029142016.

The previous prime is 7969466861. The next prime is 7969466909. The reversal of 7969466880 is 886649697.

7969466880 is a `hidden beast` number, since 7 + 96 + 9 + 466 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 14307562 + ... + 14308118.

Almost surely, 2^7969466880 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 7969466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960417472).

7969466880 is an abundant number, since it is smaller than the sum of its proper divisors (21951368064).

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

7969466880 is an equidigital number, since it uses as much as digits as its factorization.

7969466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 7969466880 is about 89271.8705976300. The cubic root of 7969466880 is about 1997.4523293986.

The spelling of 7969466880 in words is "seven billion, nine hundred sixty-nine million, four hundred sixty-six thousand, eight hundred eighty".