850806724320 has 1152 divisors, whose sum is σ = 3711417615360. Its totient is φ = 179696517120.

The previous prime is 850806724283. The next prime is 850806724331. The reversal of 850806724320 is 23427608058.

850806724320 is a `hidden beast` number, since 85 + 0 + 80 + 67 + 2 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 212010634 + ... + 212014646.

It is an arithmetic number, because the mean of its divisors is an integer number (3221716680).

Almost surely, 2^850806724320 is an apocalyptic number.

850806724320 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 850806724320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855708807680).

850806724320 is an abundant number, since it is smaller than the sum of its proper divisors (2860610891040).

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

850806724320 is a wasteful number, since it uses less digits than its factorization.

850806724320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 850806724320 in words is "eight hundred fifty billion, eight hundred six million, seven hundred twenty-four thousand, three hundred twenty".