849586564728 has 192 divisors, whose sum is σ = 2601262944000. Its totient is φ = 256730506560.

The previous prime is 849586564711. The next prime is 849586564759. The reversal of 849586564728 is 827465685948.

849586564728 is a `hidden beast` number, since 8 + 4 + 9 + 58 + 6 + 564 + 7 + 2 + 8 = 666.

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

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, 9337551 + ... + 9428097.

It is an arithmetic number, because the mean of its divisors is an integer number (13548244500).

Almost surely, 2^849586564728 is an apocalyptic number.

849586564728 is a gapful number since it is divisible by the number (88) 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 849586564728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300631472000).

849586564728 is an abundant number, since it is smaller than the sum of its proper divisors (1751676379272).

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

849586564728 is a wasteful number, since it uses less digits than its factorization.

849586564728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90943 (or 90922 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 72.

The spelling of 849586564728 in words is "eight hundred forty-nine billion, five hundred eighty-six million, five hundred sixty-four thousand, seven hundred twenty-eight".