6874739200 has 360 divisors, whose sum is σ = 20194965252. Its totient is φ = 2312110080.

The previous prime is 6874739197. The next prime is 6874739203. The reversal of 6874739200 is 29374786.

It is an interprime number because it is at equal distance from previous prime (6874739197) and next prime (6874739203).

It can be written as a sum of positive squares in 6 ways, for example, as 569108736 + 6305630464 = 23856^2 + 79408^2 .

It is not an unprimeable number, because it can be changed into a prime (6874739203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60838344 + ... + 60838456.

Almost surely, 2^6874739200 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 6874739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10097482626).

6874739200 is an abundant number, since it is smaller than the sum of its proper divisors (13320226052).

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

6874739200 is a wasteful number, since it uses less digits than its factorization.

6874739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 6874739200 is about 82914.0470607966. The cubic root of 6874739200 is about 1901.4521861978.

The spelling of 6874739200 in words is "six billion, eight hundred seventy-four million, seven hundred thirty-nine thousand, two hundred".