7856408616 has 128 divisors (see below), whose sum is σ = 23797800960. Its totient is φ = 2113516800.

The previous prime is 7856408603. The next prime is 7856408627. The reversal of 7856408616 is 6168046587.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 172311 + ... + 213081.

It is an arithmetic number, because the mean of its divisors is an integer number (185920320).

Almost surely, 2^7856408616 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 7856408616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898900480).

7856408616 is an abundant number, since it is smaller than the sum of its proper divisors (15941392344).

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

7856408616 is a wasteful number, since it uses less digits than its factorization.

7856408616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40855 (or 40851 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 7856408616 is about 88636.3842674102. The cubic root of 7856408616 is about 1987.9617368251.

The spelling of 7856408616 in words is "seven billion, eight hundred fifty-six million, four hundred eight thousand, six hundred sixteen".