6460423200 has 864 divisors, whose sum is σ = 29170132992. Its totient is φ = 1306368000.

The previous prime is 6460423199. The next prime is 6460423213. The reversal of 6460423200 is 23240646.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23839065 + ... + 23839335.

It is an arithmetic number, because the mean of its divisors is an integer number (33761728).

Almost surely, 2^6460423200 is an apocalyptic number.

6460423200 is a gapful number since it is divisible by the number (60) 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 6460423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585066496).

6460423200 is an abundant number, since it is smaller than the sum of its proper divisors (22709709792).

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

6460423200 is a wasteful number, since it uses less digits than its factorization.

6460423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6460423200 is about 80376.7578345880. The cubic root of 6460423200 is about 1862.4601507922.

Adding to 6460423200 its reverse (23240646), we get a palindrome (6483663846).

The spelling of 6460423200 in words is "six billion, four hundred sixty million, four hundred twenty-three thousand, two hundred".