849250477670400 has 5472 divisors, whose sum is σ = 3816565084200960. Its totient is φ = 184926527815680.

The previous prime is 849250477670393. The next prime is 849250477670401. The reversal of 849250477670400 is 4076774052948.

849250477670400 is a `hidden beast` number, since 8 + 4 + 9 + 2 + 50 + 47 + 76 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (5472).

It is a super-2 number, since 2×849250477670400² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (849250477670401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6687011635137 + ... + 6687011635263.

Almost surely, 2^{849250477670400} is an apocalyptic number.

849250477670400 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 849250477670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908282542100480).

849250477670400 is an abundant number, since it is smaller than the sum of its proper divisors (2967314606530560).

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

849250477670400 is a wasteful number, since it uses less digits than its factorization.

849250477670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 849250477670400 in words is "eight hundred forty-nine trillion, two hundred fifty billion, four hundred seventy-seven million, six hundred seventy thousand, four hundred".