849592074240 has 2160 divisors, whose sum is σ = 3883301577792. Its totient is φ = 176579149824.

The previous prime is 849592074197. The next prime is 849592074241. The reversal of 849592074240 is 42470295948.

It is a happy number.

849592074240 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 9 + 207 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×849592074240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849592074241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12680478687 + ... + 12680478753.

Almost surely, 2^849592074240 is an apocalyptic number.

849592074240 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 849592074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941650788896).

849592074240 is an abundant number, since it is smaller than the sum of its proper divisors (3033709503552).

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

849592074240 is an equidigital number, since it uses as much as digits as its factorization.

849592074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 849592074240 in words is "eight hundred forty-nine billion, five hundred ninety-two million, seventy-four thousand, two hundred forty".