6821284800 has 672 divisors, whose sum is σ = 26287317504. Its totient is φ = 1531904000.

The previous prime is 6821284751. The next prime is 6821284817. The reversal of 6821284800 is 84821286.

It is a super-2 number, since 2×6821284800² = 93059852645422080000, which contains 22 as substring.

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, 49790332 + ... + 49790468.

It is an arithmetic number, because the mean of its divisors is an integer number (39118032).

Almost surely, 2^6821284800 is an apocalyptic number.

6821284800 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 6821284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143658752).

6821284800 is an abundant number, since it is smaller than the sum of its proper divisors (19466032704).

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

6821284800 is a wasteful number, since it uses less digits than its factorization.

6821284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 6821284800 is about 82591.0697351717. The cubic root of 6821284800 is about 1896.5111228591.

The spelling of 6821284800 in words is "six billion, eight hundred twenty-one million, two hundred eighty-four thousand, eight hundred".