6826694400 has 324 divisors, whose sum is σ = 25473088368. Its totient is φ = 1740963840.

The previous prime is 6826694393. The next prime is 6826694429. The reversal of 6826694400 is 44966286.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1322224 + ... + 1327376.

Almost surely, 2^6826694400 is an apocalyptic number.

6826694400 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 6826694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736544184).

6826694400 is an abundant number, since it is smaller than the sum of its proper divisors (18646393968).

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

6826694400 is a wasteful number, since it uses less digits than its factorization.

6826694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6826694400 is about 82623.8125481994. The cubic root of 6826694400 is about 1897.0123312586.

The spelling of 6826694400 in words is "six billion, eight hundred twenty-six million, six hundred ninety-four thousand, four hundred".