7968343680 has 768 divisors, whose sum is σ = 32167699200. Its totient is φ = 1861263360.

The previous prime is 7968343657. The next prime is 7968343687. The reversal of 7968343680 is 863438697.

7968343680 is a `hidden beast` number, since 79 + 68 + 3 + 436 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968343687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77362509 + ... + 77362611.

It is an arithmetic number, because the mean of its divisors is an integer number (41885025).

Almost surely, 2^7968343680 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 7968343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083849600).

7968343680 is an abundant number, since it is smaller than the sum of its proper divisors (24199355520).

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

7968343680 is a wasteful number, since it uses less digits than its factorization.

7968343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 7968343680 is about 89265.5794805590. The cubic root of 7968343680 is about 1997.3584860714.

The spelling of 7968343680 in words is "seven billion, nine hundred sixty-eight million, three hundred forty-three thousand, six hundred eighty".