850549973760 has 720 divisors, whose sum is σ = 3160355536800. Its totient is φ = 218159972352.

The previous prime is 850549973711. The next prime is 850549973879. The reversal of 850549973760 is 67379945058.

850549973760 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 499 + 73 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1374070731 + ... + 1374071349.

It is an arithmetic number, because the mean of its divisors is an integer number (4389382690).

Almost surely, 2^850549973760 is an apocalyptic number.

850549973760 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 850549973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580177768400).

850549973760 is an abundant number, since it is smaller than the sum of its proper divisors (2309805563040).

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

850549973760 is a wasteful number, since it uses less digits than its factorization.

850549973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 850549973760 in words is "eight hundred fifty billion, five hundred forty-nine million, nine hundred seventy-three thousand, seven hundred sixty".