849291360960 has 224 divisors, whose sum is σ = 3105242122752. Its totient is φ = 192641679360.

The previous prime is 849291360959. The next prime is 849291360991. The reversal of 849291360960 is 69063192948.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 849291360960.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397944 + ... + 1362696.

It is an arithmetic number, because the mean of its divisors is an integer number (13862688048).

Almost surely, 2^849291360960 is an apocalyptic number.

849291360960 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 849291360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552621061376).

849291360960 is an abundant number, since it is smaller than the sum of its proper divisors (2255950761792).

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

849291360960 is a wasteful number, since it uses less digits than its factorization.

849291360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964911 (or 964901 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 849291360960 in words is "eight hundred forty-nine billion, two hundred ninety-one million, three hundred sixty thousand, nine hundred sixty".