6849259200 has 756 divisors, whose sum is σ = 30036695832. Its totient is φ = 1470873600.

The previous prime is 6849259189. The next prime is 6849259229. The reversal of 6849259200 is 29529486.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11994915 + ... + 11995485.

Almost surely, 2^6849259200 is an apocalyptic number.

6849259200 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 6849259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15018347916).

6849259200 is an abundant number, since it is smaller than the sum of its proper divisors (23187436632).

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

6849259200 is a wasteful number, since it uses less digits than its factorization.

6849259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6849259200 is about 82760.2513287629. The cubic root of 6849259200 is about 1899.1001463740.

The spelling of 6849259200 in words is "six billion, eight hundred forty-nine million, two hundred fifty-nine thousand, two hundred".