6634656000 has 576 divisors, whose sum is σ = 28009013760. Its totient is φ = 1515110400.

The previous prime is 6634655981. The next prime is 6634656043. The reversal of 6634656000 is 6564366.

6634656000 is a `hidden beast` number, since 6 + 6 + 3 + 46 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6047452 + ... + 6048548.

It is an arithmetic number, because the mean of its divisors is an integer number (48626760).

Almost surely, 2^6634656000 is an apocalyptic number.

6634656000 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 6634656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14004506880).

6634656000 is an abundant number, since it is smaller than the sum of its proper divisors (21374357760).

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

6634656000 is a wasteful number, since it uses less digits than its factorization.

6634656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6634656000 is about 81453.3977191866. The cubic root of 6634656000 is about 1879.0549044784.

The spelling of 6634656000 in words is "six billion, six hundred thirty-four million, six hundred fifty-six thousand".