7968089280 has 224 divisors, whose sum is σ = 26722425600. Its totient is φ = 2006028288.

The previous prime is 7968089267. The next prime is 7968089287. The reversal of 7968089280 is 829808697.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 7968089280.

It is not an unprimeable number, because it can be changed into a prime (7968089287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7094799 + ... + 7095921.

Almost surely, 2^7968089280 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 7968089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361212800).

7968089280 is an abundant number, since it is smaller than the sum of its proper divisors (18754336320).

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

7968089280 is a wasteful number, since it uses less digits than its factorization.

7968089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The square root of 7968089280 is about 89264.1545078426. The cubic root of 7968089280 is about 1997.3372297339.

The spelling of 7968089280 in words is "seven billion, nine hundred sixty-eight million, eighty-nine thousand, two hundred eighty".