6459873600 has 168 divisors, whose sum is σ = 21276807840. Its totient is φ = 1715886080.

The previous prime is 6459873583. The next prime is 6459873647. The reversal of 6459873600 is 63789546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6459873600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288699 + ... + 1293701.

Almost surely, 2^6459873600 is an apocalyptic number.

6459873600 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 6459873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638403920).

6459873600 is an abundant number, since it is smaller than the sum of its proper divisors (14816934240).

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

6459873600 is a wasteful number, since it uses less digits than its factorization.

6459873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 6459873600 is about 80373.3388630832. The cubic root of 6459873600 is about 1862.4073349990.

The spelling of 6459873600 in words is "six billion, four hundred fifty-nine million, eight hundred seventy-three thousand, six hundred".