7968317760 has 448 divisors, whose sum is σ = 30795528960. Its totient is φ = 1927618560.

The previous prime is 7968317759. The next prime is 7968317803. The reversal of 7968317760 is 677138697.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7968317697 and 7968317706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6850939 + ... + 6852101.

It is an arithmetic number, because the mean of its divisors is an integer number (68740020).

Almost surely, 2^7968317760 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 7968317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397764480).

7968317760 is an abundant number, since it is smaller than the sum of its proper divisors (22827211200).

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

7968317760 is a wasteful number, since it uses less digits than its factorization.

7968317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 7968317760 is about 89265.4342957004. The cubic root of 7968317760 is about 1997.3563203520.

The spelling of 7968317760 in words is "seven billion, nine hundred sixty-eight million, three hundred seventeen thousand, seven hundred sixty".