850964004800 has 672 divisors, whose sum is σ = 2733500044800. Its totient is φ = 253191536640.

The previous prime is 850964004797. The next prime is 850964004841. The reversal of 850964004800 is 8400469058.

It is a happy number.

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, 384528494 + ... + 384530706.

It is an arithmetic number, because the mean of its divisors is an integer number (4067708400).

Almost surely, 2^850964004800 is an apocalyptic number.

850964004800 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 850964004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366750022400).

850964004800 is an abundant number, since it is smaller than the sum of its proper divisors (1882536040000).

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

850964004800 is a wasteful number, since it uses less digits than its factorization.

850964004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 850964004800 in words is "eight hundred fifty billion, nine hundred sixty-four million, four thousand, eight hundred".