850792688640 has 1584 divisors, whose sum is σ = 3403619281920. Its totient is φ = 203166351360.

The previous prime is 850792688591. The next prime is 850792688663. The reversal of 850792688640 is 46886297058.

850792688640 is a `hidden beast` number, since 8 + 507 + 9 + 2 + 6 + 8 + 86 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19785876459 + ... + 19785876501.

Almost surely, 2^850792688640 is an apocalyptic number.

850792688640 is a gapful number since it is divisible by the number (80) 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 850792688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701809640960).

850792688640 is an abundant number, since it is smaller than the sum of its proper divisors (2552826593280).

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

850792688640 is an equidigital number, since it uses as much as digits as its factorization.

850792688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 850792688640 in words is "eight hundred fifty billion, seven hundred ninety-two million, six hundred eighty-eight thousand, six hundred forty".