6456543200 has 72 divisors (see below), whose sum is σ = 15806644560. Its totient is φ = 2575308800.

The previous prime is 6456543199. The next prime is 6456543211. The reversal of 6456543200 is 23456546.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275960 + ... + 298440.

It is an arithmetic number, because the mean of its divisors is an integer number (219536730).

Almost surely, 2^6456543200 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 6456543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903322280).

6456543200 is an abundant number, since it is smaller than the sum of its proper divisors (9350101360).

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

6456543200 is a wasteful number, since it uses less digits than its factorization.

6456543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22860 (or 22847 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 6456543200 is about 80352.6178789465. The cubic root of 6456543200 is about 1862.0872241118.

Adding to 6456543200 its reverse (23456546), we get a palindrome (6479999746).

The spelling of 6456543200 in words is "six billion, four hundred fifty-six million, five hundred forty-three thousand, two hundred".