849274675200 has 1344 divisors, whose sum is σ = 3668386993920. Its totient is φ = 188554936320.

The previous prime is 849274675189. The next prime is 849274675219. The reversal of 849274675200 is 2576472948.

849274675200 is a `hidden beast` number, since 8 + 49 + 2 + 74 + 6 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1432166104 + ... + 1432166696.

Almost surely, 2^849274675200 is an apocalyptic number.

849274675200 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 849274675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834193496960).

849274675200 is an abundant number, since it is smaller than the sum of its proper divisors (2819112318720).

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

849274675200 is a wasteful number, since it uses less digits than its factorization.

849274675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 849274675200 in words is "eight hundred forty-nine billion, two hundred seventy-four million, six hundred seventy-five thousand, two hundred".