6407242400 has 144 divisors (see below), whose sum is σ = 16887840984. Its totient is φ = 2359726080.

The previous prime is 6407242393. The next prime is 6407242417. The reversal of 6407242400 is 42427046.

It can be written as a sum of positive squares in 12 ways, for example, as 297631504 + 6109610896 = 17252^2 + 78164^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8038802 + ... + 8039598.

Almost surely, 2^6407242400 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 6407242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443920492).

6407242400 is an abundant number, since it is smaller than the sum of its proper divisors (10480598584).

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

6407242400 is a wasteful number, since it uses less digits than its factorization.

6407242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 6407242400 is about 80045.2522014891. The cubic root of 6407242400 is about 1857.3356078328.

Adding to 6407242400 its reverse (42427046), we get a palindrome (6449669446).

The spelling of 6407242400 in words is "six billion, four hundred seven million, two hundred forty-two thousand, four hundred".