6819128400 has 540 divisors, whose sum is σ = 27029193632. Its totient is φ = 1439293440.

The previous prime is 6819128387. The next prime is 6819128401. The reversal of 6819128400 is 48219186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819128401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 128662774 + ... + 128662826.

Almost surely, 2^6819128400 is an apocalyptic number.

6819128400 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 6819128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514596816).

6819128400 is an abundant number, since it is smaller than the sum of its proper divisors (20210065232).

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

6819128400 is a wasteful number, since it uses less digits than its factorization.

6819128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 6819128400 is about 82578.0140231042. The cubic root of 6819128400 is about 1896.3112549588.

The spelling of 6819128400 in words is "six billion, eight hundred nineteen million, one hundred twenty-eight thousand, four hundred".