6842539325952 has 1920 divisors, whose sum is σ = 24426983572992. Its totient is φ = 1821848371200.

The previous prime is 6842539325873. The next prime is 6842539325953. The reversal of 6842539325952 is 2595239352486.

It is a happy number.

6842539325952 is a `hidden beast` number, since 6 + 8 + 4 + 2 + 5 + 3 + 9 + 32 + 595 + 2 = 666.

Its product of digits (139968000) is a multiple of the sum of its prime divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 6842539325952.

It is not an unprimeable number, because it can be changed into a prime (6842539325953) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93733415388 + ... + 93733415460.

Almost surely, 2^{6842539325952} 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 6842539325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213491786496).

6842539325952 is an abundant number, since it is smaller than the sum of its proper divisors (17584444247040).

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

6842539325952 is a wasteful number, since it uses less digits than its factorization.

6842539325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 6842539325952 in words is "six trillion, eight hundred forty-two billion, five hundred thirty-nine million, three hundred twenty-five thousand, nine hundred fifty-two".