7666968870 has 192 divisors, whose sum is σ = 22757414400. Its totient is φ = 1821605760.

The previous prime is 7666968851. The next prime is 7666968889. The reversal of 7666968870 is 788696667.

It is an interprime number because it is at equal distance from previous prime (7666968851) and next prime (7666968889).

It is a junction number, because it is equal to n+sod(n) for n = 7666968798 and 7666968807.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 8342271 + ... + 8343189.

It is an arithmetic number, because the mean of its divisors is an integer number (118528200).

Almost surely, 2^7666968870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666968870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378707200).

7666968870 is an abundant number, since it is smaller than the sum of its proper divisors (15090445530).

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

7666968870 is a wasteful number, since it uses less digits than its factorization.

7666968870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The square root of 7666968870 is about 87561.2292627279. The cubic root of 7666968870 is about 1971.8531412741.

The spelling of 7666968870 in words is "seven billion, six hundred sixty-six million, nine hundred sixty-eight thousand, eight hundred seventy".