849846634560 has 2240 divisors, whose sum is σ = 4034818529280. Its totient is φ = 164467998720.

The previous prime is 849846634537. The next prime is 849846634561. The reversal of 849846634560 is 65436648948.

849846634560 is a `hidden beast` number, since 8 + 4 + 9 + 8 + 4 + 6 + 63 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (849846634561) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2768229927 + ... + 2768230233.

It is an arithmetic number, because the mean of its divisors is an integer number (1801258272).

Almost surely, 2^849846634560 is an apocalyptic number.

849846634560 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 849846634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017409264640).

849846634560 is an abundant number, since it is smaller than the sum of its proper divisors (3184971894720).

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

849846634560 is a wasteful number, since it uses less digits than its factorization.

849846634560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

It can be divided in two parts, 849 and 846634560, that added together give a square (846635409 = 29097²).

The spelling of 849846634560 in words is "eight hundred forty-nine billion, eight hundred forty-six million, six hundred thirty-four thousand, five hundred sixty".