7790664960 has 216 divisors, whose sum is σ = 29028900264. Its totient is φ = 1917665280.

The previous prime is 7790664913. The next prime is 7790664983. The reversal of 7790664960 is 694660977.

7790664960 is a `hidden beast` number, since 7 + 7 + 90 + 66 + 496 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108493056 + 7682171904 = 10416^2 + 87648^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7790664897 and 7790664906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123750 + ... + 175770.

Almost surely, 2^7790664960 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 7790664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514450132).

7790664960 is an abundant number, since it is smaller than the sum of its proper divisors (21238235304).

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

7790664960 is a wasteful number, since it uses less digits than its factorization.

7790664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52061 (or 52044 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 7790664960 is about 88264.7435842874. The cubic root of 7790664960 is about 1982.4010052623.

The spelling of 7790664960 in words is "seven billion, seven hundred ninety million, six hundred sixty-four thousand, nine hundred sixty".