7851926016 has 480 divisors, whose sum is σ = 26963988480. Its totient is φ = 2173132800.

The previous prime is 7851925999. The next prime is 7851926041. The reversal of 7851926016 is 6106291587.

7851926016 is a `hidden beast` number, since 78 + 519 + 2 + 60 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29855101 + ... + 29855363.

It is an arithmetic number, because the mean of its divisors is an integer number (56174976).

Almost surely, 2^7851926016 is an apocalyptic number.

7851926016 is a gapful number since it is divisible by the number (76) 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 7851926016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481994240).

7851926016 is an abundant number, since it is smaller than the sum of its proper divisors (19112062464).

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

7851926016 is a wasteful number, since it uses less digits than its factorization.

7851926016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

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

The square root of 7851926016 is about 88611.0942038298. The cubic root of 7851926016 is about 1987.5835770716.

The spelling of 7851926016 in words is "seven billion, eight hundred fifty-one million, nine hundred twenty-six thousand, sixteen".