7856291016 has 192 divisors, whose sum is σ = 25246241280. Its totient is φ = 2160483840.

The previous prime is 7856290961. The next prime is 7856291017. The reversal of 7856291016 is 6101926587.

7856291016 is a `hidden beast` number, since 7 + 8 + 5 + 629 + 1 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (7856291017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1442250 + ... + 1447686.

It is an arithmetic number, because the mean of its divisors is an integer number (131490840).

Almost surely, 2^7856291016 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 7856291016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12623120640).

7856291016 is an abundant number, since it is smaller than the sum of its proper divisors (17389950264).

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

7856291016 is a wasteful number, since it uses less digits than its factorization.

7856291016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5564 (or 5557 counting only the distinct ones).

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

The square root of 7856291016 is about 88635.7208804667. The cubic root of 7856291016 is about 1987.9518177268.

The spelling of 7856291016 in words is "seven billion, eight hundred fifty-six million, two hundred ninety-one thousand, sixteen".