7792208640 has 288 divisors, whose sum is σ = 28856701440. Its totient is φ = 1987375104.

The previous prime is 7792208597. The next prime is 7792208651. The reversal of 7792208640 is 468022977.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789979 + ... + 799781.

It is an arithmetic number, because the mean of its divisors is an integer number (100196880).

Almost surely, 2^7792208640 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 7792208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428350720).

7792208640 is an abundant number, since it is smaller than the sum of its proper divisors (21064492800).

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

7792208640 is a wasteful number, since it uses less digits than its factorization.

7792208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856 (or 9836 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7792208640 is about 88273.4877525523. The cubic root of 7792208640 is about 1982.5319307867.

The spelling of 7792208640 in words is "seven billion, seven hundred ninety-two million, two hundred eight thousand, six hundred forty".