7945086072 has 256 divisors, whose sum is σ = 25656238080. Its totient is φ = 1990310400.

The previous prime is 7945086041. The next prime is 7945086089. The reversal of 7945086072 is 2706805497.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8956813 + ... + 8957699.

It is an arithmetic number, because the mean of its divisors is an integer number (100219680).

Almost surely, 2^7945086072 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 7945086072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828119040).

7945086072 is an abundant number, since it is smaller than the sum of its proper divisors (17711152008).

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

7945086072 is a wasteful number, since it uses less digits than its factorization.

7945086072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 7945086072 is about 89135.2123013122. The cubic root of 7945086072 is about 1995.4133285971.

The spelling of 7945086072 in words is "seven billion, nine hundred forty-five million, eighty-six thousand, seventy-two".