849635426304 has 720 divisors, whose sum is σ = 3083977612800. Its totient is φ = 229865029632.

The previous prime is 849635426293. The next prime is 849635426327. The reversal of 849635426304 is 403624536948.

849635426304 is a `hidden beast` number, since 8 + 4 + 9 + 63 + 542 + 6 + 30 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 411843577 + ... + 411845639.

It is an arithmetic number, because the mean of its divisors is an integer number (4283302240).

Almost surely, 2^849635426304 is an apocalyptic number.

849635426304 is a gapful number since it is divisible by the number (84) 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 849635426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541988806400).

849635426304 is an abundant number, since it is smaller than the sum of its proper divisors (2234342186496).

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

849635426304 is a wasteful number, since it uses less digits than its factorization.

849635426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 849635426304 in words is "eight hundred forty-nine billion, six hundred thirty-five million, four hundred twenty-six thousand, three hundred four".