6423097824 has 720 divisors, whose sum is σ = 23570072064. Its totient is φ = 1698278400.

The previous prime is 6423097823. The next prime is 6423097831. The reversal of 6423097824 is 4287903246.

It is a self number, because there is not a number n which added to its sum of digits gives 6423097824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423097823) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149374347 + ... + 149374389.

Almost surely, 2^6423097824 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 6423097824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11785036032).

6423097824 is an abundant number, since it is smaller than the sum of its proper divisors (17146974240).

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

6423097824 is a wasteful number, since it uses less digits than its factorization.

6423097824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6423097824 is about 80144.2313831757. The cubic root of 6423097824 is about 1858.8664060354.

The spelling of 6423097824 in words is "six billion, four hundred twenty-three million, ninety-seven thousand, eight hundred twenty-four".