6742879200 has 108 divisors (see below), whose sum is σ = 23777103168. Its totient is φ = 1798099200.

The previous prime is 6742879181. The next prime is 6742879207. The reversal of 6742879200 is 29782476.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6742879207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 461056 + ... + 475455.

Almost surely, 2^6742879200 is an apocalyptic number.

6742879200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6742879200 is an abundant number, since it is smaller than the sum of its proper divisors (17034223968).

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

6742879200 is a wasteful number, since it uses less digits than its factorization.

6742879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936537 (or 936521 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 6742879200 is about 82115.0363818954. The cubic root of 6742879200 is about 1889.2167746577.

The spelling of 6742879200 in words is "six billion, seven hundred forty-two million, eight hundred seventy-nine thousand, two hundred".