6634404000 has 432 divisors, whose sum is σ = 27396945576. Its totient is φ = 1516032000.

The previous prime is 6634403989. The next prime is 6634404017. The reversal of 6634404000 is 4044366.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1785231504 + 4849172496 = 42252^2 + 69636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1762120 + ... + 1765880.

Almost surely, 2^6634404000 is an apocalyptic number.

6634404000 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 6634404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698472788).

6634404000 is an abundant number, since it is smaller than the sum of its proper divisors (20762541576).

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

6634404000 is a wasteful number, since it uses less digits than its factorization.

6634404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 6634404000 is about 81451.8508077011. The cubic root of 6634404000 is about 1879.0311138537.

Adding to 6634404000 its reverse (4044366), we get a palindrome (6638448366).

The spelling of 6634404000 in words is "six billion, six hundred thirty-four million, four hundred four thousand".