7869288960 has 720 divisors, whose sum is σ = 30840061824. Its totient is φ = 1851752448.

The previous prime is 7869288949. The next prime is 7869288971. The reversal of 7869288960 is 698829687.

It is an interprime number because it is at equal distance from previous prime (7869288949) and next prime (7869288971).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167431657 + ... + 167431703.

Almost surely, 2^7869288960 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 7869288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420030912).

7869288960 is an abundant number, since it is smaller than the sum of its proper divisors (22970772864).

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

7869288960 is a wasteful number, since it uses less digits than its factorization.

7869288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The square root of 7869288960 is about 88709.0128453699. The cubic root of 7869288960 is about 1989.0475446792.

The spelling of 7869288960 in words is "seven billion, eight hundred sixty-nine million, two hundred eighty-eight thousand, nine hundred sixty".