7860669507000 has 768 divisors, whose sum is σ = 27482141531520. Its totient is φ = 2025593856000.

The previous prime is 7860669506953. The next prime is 7860669507017. The reversal of 7860669507000 is 7059660687.

It is a happy number.

7860669507000 is a `hidden beast` number, since 78 + 6 + 0 + 6 + 69 + 507 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11892086670 + ... + 11892087330.

Almost surely, 2^{7860669507000} 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 7860669507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13741070765760).

7860669507000 is an abundant number, since it is smaller than the sum of its proper divisors (19621472024520).

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

7860669507000 is a wasteful number, since it uses less digits than its factorization.

7860669507000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 7860669507000 in words is "seven trillion, eight hundred sixty billion, six hundred sixty-nine million, five hundred seven thousand".