6827129400 has 384 divisors, whose sum is σ = 27423244800. Its totient is φ = 1364428800.

The previous prime is 6827129389. The next prime is 6827129423. The reversal of 6827129400 is 49217286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1034110 + ... + 1040690.

It is an arithmetic number, because the mean of its divisors is an integer number (71414700).

Almost surely, 2^6827129400 is an apocalyptic number.

6827129400 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 6827129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13711622400).

6827129400 is an abundant number, since it is smaller than the sum of its proper divisors (20596115400).

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

6827129400 is a wasteful number, since it uses less digits than its factorization.

6827129400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 6827129400 is about 82626.4449192872. Note that the first 3 decimals coincide. The cubic root of 6827129400 is about 1897.0526232257.

The spelling of 6827129400 in words is "six billion, eight hundred twenty-seven million, one hundred twenty-nine thousand, four hundred".