6374425600 has 99 divisors (see below), whose sum is σ = 15832584957. Its totient is φ = 2544660480.

The previous prime is 6374425579. The next prime is 6374425637. The reversal of 6374425600 is 65244736.

The square root of 6374425600 is 79840.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2294793216 + 4079632384 = 47904^2 + 63872^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6374425600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12774151 + ... + 12774649.

Almost surely, 2^6374425600 is an apocalyptic number.

6374425600 is the 79840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6374425600

6374425600 is an abundant number, since it is smaller than the sum of its proper divisors (9458159357).

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

6374425600 is an frugal number, since it uses more digits than its factorization.

6374425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The cubic root of 6374425600 is about 1854.1591934948.

The spelling of 6374425600 in words is "six billion, three hundred seventy-four million, four hundred twenty-five thousand, six hundred".