6746631200 has 108 divisors (see below), whose sum is σ = 16865846298. Its totient is φ = 2635315200.

The previous prime is 6746631187. The next prime is 6746631211. The reversal of 6746631200 is 21366476.

It can be written as a sum of positive squares in 3 ways, for example, as 4476680464 + 2269950736 = 66908^2 + 47644^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1476920 + ... + 1481480.

Almost surely, 2^6746631200 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 6746631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432923149).

6746631200 is an abundant number, since it is smaller than the sum of its proper divisors (10119215098).

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

6746631200 is a wasteful number, since it uses less digits than its factorization.

6746631200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 6746631200 is about 82137.8792032032. The cubic root of 6746631200 is about 1889.5671208917.

Adding to 6746631200 its reverse (21366476), we get a palindrome (6767997676).

The spelling of 6746631200 in words is "six billion, seven hundred forty-six million, six hundred thirty-one thousand, two hundred".