6434744200 has 96 divisors (see below), whose sum is σ = 15277057920. Its totient is φ = 2520000000.

The previous prime is 6434744191. The next prime is 6434744209. The reversal of 6434744200 is 24474346.

It is an interprime number because it is at equal distance from previous prime (6434744191) and next prime (6434744209).

It is not an unprimeable number, because it can be changed into a prime (6434744209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142700 + ... + 2145700.

It is an arithmetic number, because the mean of its divisors is an integer number (159136020).

Almost surely, 2^6434744200 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 6434744200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638528960).

6434744200 is an abundant number, since it is smaller than the sum of its proper divisors (8842313720).

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

6434744200 is a wasteful number, since it uses less digits than its factorization.

6434744200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The square root of 6434744200 is about 80216.8573306135. The cubic root of 6434744200 is about 1859.9892279794.

The spelling of 6434744200 in words is "six billion, four hundred thirty-four million, seven hundred forty-four thousand, two hundred".