7666850880 has 560 divisors, whose sum is σ = 29931719664. Its totient is φ = 1851310080.

The previous prime is 7666850879. The next prime is 7666850881. The reversal of 7666850880 is 880586667.

It is an interprime number because it is at equal distance from previous prime (7666850879) and next prime (7666850881).

It can be written as a sum of positive squares in 8 ways, for example, as 2070614016 + 5596236864 = 45504^2 + 74808^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7666850881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20554374 + ... + 20554746.

Almost surely, 2^7666850880 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 7666850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965859832).

7666850880 is an abundant number, since it is smaller than the sum of its proper divisors (22264868784).

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

7666850880 is a wasteful number, since it uses less digits than its factorization.

7666850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 7666850880 is about 87560.5555030346. Note that the first 4 decimals coincide. The cubic root of 7666850880 is about 1971.8430260144.

The spelling of 7666850880 in words is "seven billion, six hundred sixty-six million, eight hundred fifty thousand, eight hundred eighty".