6427924600 has 24 divisors (see below), whose sum is σ = 14944925160. Its totient is φ = 2571169760.

The previous prime is 6427924577. The next prime is 6427924603. The reversal of 6427924600 is 64297246.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6427924603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16069612 + ... + 16070011.

It is an arithmetic number, because the mean of its divisors is an integer number (622705215).

Almost surely, 2^6427924600 is an apocalyptic number.

It is an amenable number.

6427924600 is an abundant number, since it is smaller than the sum of its proper divisors (8517000560).

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

6427924600 is a wasteful number, since it uses less digits than its factorization.

6427924600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32139639 (or 32139630 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 6427924600 is about 80174.3387874200. The cubic root of 6427924600 is about 1859.3319179247.

The spelling of 6427924600 in words is "six billion, four hundred twenty-seven million, nine hundred twenty-four thousand, six hundred".