7849847808000 has 1792 divisors, whose sum is σ = 32327554222080. Its totient is φ = 1863254016000.

The previous prime is 7849847807957. The next prime is 7849847808007. The reversal of 7849847808000 is 8087489487.

7849847808000 is a `hidden beast` number, since 7 + 84 + 9 + 8 + 478 + 0 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×7849847808000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7849847808007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16118783757 + ... + 16118784243.

Almost surely, 2^{7849847808000} 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 7849847808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163777111040).

7849847808000 is an abundant number, since it is smaller than the sum of its proper divisors (24477706414080).

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

7849847808000 is a wasteful number, since it uses less digits than its factorization.

7849847808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 7849847808000 in words is "seven trillion, eight hundred forty-nine billion, eight hundred forty-seven million, eight hundred eight thousand".