6848502259200 has 960 divisors, whose sum is σ = 26664688207872. Its totient is φ = 1516960972800.

The previous prime is 6848502259187. The next prime is 6848502259201. The reversal of 6848502259200 is 29522058486.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6848502259201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1514148139 + ... + 1514152661.

Almost surely, 2^{6848502259200} is an apocalyptic number.

6848502259200 is a gapful number since it is divisible by the number (60) 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 6848502259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13332344103936).

6848502259200 is an abundant number, since it is smaller than the sum of its proper divisors (19816185948672).

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

6848502259200 is a wasteful number, since it uses less digits than its factorization.

6848502259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 6848502259200 in words is "six trillion, eight hundred forty-eight billion, five hundred two million, two hundred fifty-nine thousand, two hundred".