7806116864 has 176 divisors, whose sum is σ = 20221084800. Its totient is φ = 2924937216.

The previous prime is 7806116861. The next prime is 7806116867. The reversal of 7806116864 is 4686116087.

It is an interprime number because it is at equal distance from previous prime (7806116861) and next prime (7806116867).

It is not an unprimeable number, because it can be changed into a prime (7806116861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1768292 + ... + 1772700.

Almost surely, 2^7806116864 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 7806116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110542400).

7806116864 is an abundant number, since it is smaller than the sum of its proper divisors (12414967936).

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

7806116864 is a wasteful number, since it uses less digits than its factorization.

7806116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 7806116864 is about 88352.2317997684. The cubic root of 7806116864 is about 1983.7107625529.

The spelling of 7806116864 in words is "seven billion, eight hundred six million, one hundred sixteen thousand, eight hundred sixty-four".