6829285478400 has 4680 divisors, whose sum is σ = 34409407555776. Its totient is φ = 1299500236800.

The previous prime is 6829285478369. The next prime is 6829285478401. The reversal of 6829285478400 is 48745829286.

6829285478400 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 2 + 8 + 547 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6829285478401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 184575283182 + ... + 184575283218.

Almost surely, 2^{6829285478400} is an apocalyptic number.

6829285478400 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 6829285478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204703777888).

6829285478400 is an abundant number, since it is smaller than the sum of its proper divisors (27580122077376).

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

6829285478400 is a wasteful number, since it uses less digits than its factorization.

6829285478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 6829285478400 in words is "six trillion, eight hundred twenty-nine billion, two hundred eighty-five million, four hundred seventy-eight thousand, four hundred".