7959845106 has 64 divisors (see below), whose sum is σ = 18580285440. Its totient is φ = 2521054800.

The previous prime is 7959845059. The next prime is 7959845143. The reversal of 7959845106 is 6015489597.

7959845106 is a `hidden beast` number, since 7 + 9 + 598 + 45 + 1 + 0 + 6 = 666.

It is a super-2 number, since 2×7959845106² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 166321 + ... + 208763.

It is an arithmetic number, because the mean of its divisors is an integer number (290316960).

Almost surely, 2^7959845106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7959845106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290142720).

7959845106 is an abundant number, since it is smaller than the sum of its proper divisors (10620440334).

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

7959845106 is a wasteful number, since it uses less digits than its factorization.

7959845106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42628 (or 42622 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 7959845106 is about 89217.9640319146. The cubic root of 7959845106 is about 1996.6481445039.

The spelling of 7959845106 in words is "seven billion, nine hundred fifty-nine million, eight hundred forty-five thousand, one hundred six".