849799936440 has 896 divisors, whose sum is σ = 3543605331840. Its totient is φ = 178523025408.

The previous prime is 849799936411. The next prime is 849799936441. The reversal of 849799936440 is 44639997948.

849799936440 is a `hidden beast` number, since 8 + 4 + 9 + 7 + 99 + 93 + 6 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849799936441) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 777492534 + ... + 777493626.

It is an arithmetic number, because the mean of its divisors is an integer number (3954916665).

Almost surely, 2^849799936440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849799936440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771802665920).

849799936440 is an abundant number, since it is smaller than the sum of its proper divisors (2693805395400).

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

849799936440 is a wasteful number, since it uses less digits than its factorization.

849799936440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 849799936440 in words is "eight hundred forty-nine billion, seven hundred ninety-nine million, nine hundred thirty-six thousand, four hundred forty".