7968130560 has 480 divisors, whose sum is σ = 30564293760. Its totient is φ = 1905721344.

The previous prime is 7968130553. The next prime is 7968130579. The reversal of 7968130560 is 650318697.

It is a happy number.

7968130560 is a `hidden beast` number, since 7 + 9 + 6 + 81 + 3 + 0 + 560 = 666.

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

It is a super-2 number, since 2×7968130560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11081881 + ... + 11082599.

It is an arithmetic number, because the mean of its divisors is an integer number (63675612).

Almost surely, 2^7968130560 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 7968130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15282146880).

7968130560 is an abundant number, since it is smaller than the sum of its proper divisors (22596163200).

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

7968130560 is a wasteful number, since it uses less digits than its factorization.

7968130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7968130560 is about 89264.3857313767. The cubic root of 7968130560 is about 1997.3406789062.

The spelling of 7968130560 in words is "seven billion, nine hundred sixty-eight million, one hundred thirty thousand, five hundred sixty".