6297407424 has 896 divisors, whose sum is σ = 25281331200. Its totient is φ = 1488015360.

The previous prime is 6297407419. The next prime is 6297407447. The reversal of 6297407424 is 4247047926.

It is a self number, because there is not a number n which added to its sum of digits gives 6297407424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118818982 + ... + 118819034.

Almost surely, 2^6297407424 is an apocalyptic number.

6297407424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6297407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640665600).

6297407424 is an abundant number, since it is smaller than the sum of its proper divisors (18983923776).

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

6297407424 is a wasteful number, since it uses less digits than its factorization.

6297407424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 6297407424 is about 79356.2059576943. The cubic root of 6297407424 is about 1846.6613682347.

The spelling of 6297407424 in words is "six billion, two hundred ninety-seven million, four hundred seven thousand, four hundred twenty-four".