6828494400 has 1008 divisors, whose sum is σ = 31137701504. Its totient is φ = 1433272320.

The previous prime is 6828494389. The next prime is 6828494429. The reversal of 6828494400 is 44948286.

6828494400 is a `hidden beast` number, since 6 + 82 + 84 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380704 + ... + 35380896.

Almost surely, 2^6828494400 is an apocalyptic number.

6828494400 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 6828494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568850752).

6828494400 is an abundant number, since it is smaller than the sum of its proper divisors (24309207104).

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

6828494400 is a wasteful number, since it uses less digits than its factorization.

6828494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6828494400 is about 82634.7045738048. The cubic root of 6828494400 is about 1897.1790455290.

The spelling of 6828494400 in words is "six billion, eight hundred twenty-eight million, four hundred ninety-four thousand, four hundred".