7946948880 has 400 divisors, whose sum is σ = 30758500080. Its totient is φ = 1888137216.

The previous prime is 7946948839. The next prime is 7946948881. The reversal of 7946948880 is 888496497.

7946948880 is a `hidden beast` number, since 7 + 94 + 69 + 488 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 84934656 + 7862014224 = 9216^2 + 88668^2 .

It is not an unprimeable number, because it can be changed into a prime (7946948881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2441334 + ... + 2444586.

Almost surely, 2^7946948880 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 7946948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379250040).

7946948880 is an abundant number, since it is smaller than the sum of its proper divisors (22811551200).

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

7946948880 is a wasteful number, since it uses less digits than its factorization.

7946948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 7946948880 is about 89145.6610273321. The cubic root of 7946948880 is about 1995.5692648749.

The spelling of 7946948880 in words is "seven billion, nine hundred forty-six million, nine hundred forty-eight thousand, eight hundred eighty".