7848506016 has 720 divisors, whose sum is σ = 28123381440. Its totient is φ = 2134978560.

The previous prime is 7848505933. The next prime is 7848506023. The reversal of 7848506016 is 6106058487.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 191426956 + ... + 191426996.

It is an arithmetic number, because the mean of its divisors is an integer number (39060252).

Almost surely, 2^7848506016 is an apocalyptic number.

7848506016 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 7848506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061690720).

7848506016 is an abundant number, since it is smaller than the sum of its proper divisors (20274875424).

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

7848506016 is a wasteful number, since it uses less digits than its factorization.

7848506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 7848506016 is about 88591.7942926996. The cubic root of 7848506016 is about 1987.2949632558.

The spelling of 7848506016 in words is "seven billion, eight hundred forty-eight million, five hundred six thousand, sixteen".