6826064400 has 495 divisors, whose sum is σ = 26131426471. Its totient is φ = 1713208320.

The previous prime is 6826064359. The next prime is 6826064419. The reversal of 6826064400 is 44606286.

It is a happy number.

The square root of 6826064400 is 82620.

It is a perfect power (a square), and thus also a powerful number.

6826064400 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 0 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159668496 + 6666395904 = 12636^2 + 81648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 401533192 + ... + 401533208.

Almost surely, 2^6826064400 is an apocalyptic number.

6826064400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6826064400 is the 82620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826064400

6826064400 is an abundant number, since it is smaller than the sum of its proper divisors (19305362071).

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

6826064400 is an equidigital number, since it uses as much as digits as its factorization.

6826064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 6826064400 is about 1896.9539743407.

Multiplying 6826064400 by its sum of digits (36), we get a square (245738318400 = 495720²).

6826064400 divided by its sum of digits (36) gives a square (189612900 = 13770²).

The spelling of 6826064400 in words is "six billion, eight hundred twenty-six million, sixty-four thousand, four hundred".