7895066112 has 480 divisors, whose sum is σ = 25738352640. Its totient is φ = 2408693760.

The previous prime is 7895066099. The next prime is 7895066117. The reversal of 7895066112 is 2116605987.

7895066112 is a `hidden beast` number, since 7 + 89 + 506 + 61 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7895066117) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 88708564 + ... + 88708652.

It is an arithmetic number, because the mean of its divisors is an integer number (53621568).

Almost surely, 2^7895066112 is an apocalyptic number.

7895066112 is a gapful number since it is divisible by the number (72) 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 7895066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

7895066112 is an abundant number, since it is smaller than the sum of its proper divisors (17843286528).

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

7895066112 is an equidigital number, since it uses as much as digits as its factorization.

7895066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 7895066112 is about 88854.1845497442. The cubic root of 7895066112 is about 1991.2169952077.

The spelling of 7895066112 in words is "seven billion, eight hundred ninety-five million, sixty-six thousand, one hundred twelve".