849601179264 has 128 divisors (see below), whose sum is σ = 2280734916480. Its totient is φ = 280194969600.

The previous prime is 849601179209. The next prime is 849601179299. The reversal of 849601179264 is 462971106948.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59836614 + ... + 59850810.

It is an arithmetic number, because the mean of its divisors is an integer number (17818241535).

Almost surely, 2^849601179264 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 849601179264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140367458240).

849601179264 is an abundant number, since it is smaller than the sum of its proper divisors (1431133737216).

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

849601179264 is a wasteful number, since it uses less digits than its factorization.

849601179264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 849601179264 in words is "eight hundred forty-nine billion, six hundred one million, one hundred seventy-nine thousand, two hundred sixty-four".