6704556000 has 384 divisors, whose sum is σ = 23096586240. Its totient is φ = 1698048000.

The previous prime is 6704555981. The next prime is 6704556059. The reversal of 6704556000 is 6554076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24923866 + ... + 24924134.

It is an arithmetic number, because the mean of its divisors is an integer number (60147360).

Almost surely, 2^6704556000 is an apocalyptic number.

6704556000 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 6704556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

6704556000 is an abundant number, since it is smaller than the sum of its proper divisors (16392030240).

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

6704556000 is a wasteful number, since it uses less digits than its factorization.

6704556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 6704556000 is about 81881.3531886229. The cubic root of 6704556000 is about 1885.6308470230.

The spelling of 6704556000 in words is "six billion, seven hundred four million, five hundred fifty-six thousand".