7946792560 has 240 divisors, whose sum is σ = 23612774400. Its totient is φ = 2468454912.

The previous prime is 7946792533. The next prime is 7946792561. The reversal of 7946792560 is 652976497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7946792561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710721 + ... + 1715359.

It is an arithmetic number, because the mean of its divisors is an integer number (98386560).

Almost surely, 2^7946792560 is an apocalyptic number.

7946792560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7946792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806387200).

7946792560 is an abundant number, since it is smaller than the sum of its proper divisors (15665981840).

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

7946792560 is a wasteful number, since it uses less digits than its factorization.

7946792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The square root of 7946792560 is about 89144.7842557264. The cubic root of 7946792560 is about 1995.5561802124.

The spelling of 7946792560 in words is "seven billion, nine hundred forty-six million, seven hundred ninety-two thousand, five hundred sixty".