6451282800 has 480 divisors, whose sum is σ = 24447840000. Its totient is φ = 1611187200.

The previous prime is 6451282763. The next prime is 6451282813. The reversal of 6451282800 is 82821546.

6451282800 is a `hidden beast` number, since 64 + 512 + 8 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30574695 + ... + 30574905.

It is an arithmetic number, because the mean of its divisors is an integer number (50933000).

Almost surely, 2^6451282800 is an apocalyptic number.

6451282800 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 6451282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223920000).

6451282800 is an abundant number, since it is smaller than the sum of its proper divisors (17996557200).

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

6451282800 is a wasteful number, since it uses less digits than its factorization.

6451282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6451282800 is about 80319.8779879551. The cubic root of 6451282800 is about 1861.5813814472.

The spelling of 6451282800 in words is "six billion, four hundred fifty-one million, two hundred eighty-two thousand, eight hundred".