6456248800 has 72 divisors (see below), whose sum is σ = 15817565736. Its totient is φ = 2573283840.

The previous prime is 6456248789. The next prime is 6456248819. The reversal of 6456248800 is 88426546.

It is a super-3 number, since 3×6456248800³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 212142 + ... + 240658.

It is an arithmetic number, because the mean of its divisors is an integer number (219688413).

Almost surely, 2^6456248800 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 6456248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908782868).

6456248800 is an abundant number, since it is smaller than the sum of its proper divisors (9361316936).

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

6456248800 is a wasteful number, since it uses less digits than its factorization.

6456248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28820 (or 28807 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 6456248800 is about 80350.7859326839. The cubic root of 6456248800 is about 1862.0589217218.

The spelling of 6456248800 in words is "six billion, four hundred fifty-six million, two hundred forty-eight thousand, eight hundred".