849233911680 has 2016 divisors, whose sum is σ = 3904710190920. Its totient is φ = 175889387520.

The previous prime is 849233911661. The next prime is 849233911733. The reversal of 849233911680 is 86119332948.

849233911680 is a `hidden beast` number, since 8 + 4 + 92 + 3 + 391 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 2766234087 + ... + 2766234393.

Almost surely, 2^849233911680 is an apocalyptic number.

849233911680 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 849233911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952355095460).

849233911680 is an abundant number, since it is smaller than the sum of its proper divisors (3055476279240).

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

849233911680 is a wasteful number, since it uses less digits than its factorization.

849233911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 849233911680 in words is "eight hundred forty-nine billion, two hundred thirty-three million, nine hundred eleven thousand, six hundred eighty".