6704661600 has 864 divisors, whose sum is σ = 30255563520. Its totient is φ = 1410877440.

The previous prime is 6704661599. The next prime is 6704661619. The reversal of 6704661600 is 61664076.

6704661600 is a `hidden beast` number, since 6 + 7 + 0 + 46 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17690211 + ... + 17690589.

Almost surely, 2^6704661600 is an apocalyptic number.

6704661600 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 6704661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127781760).

6704661600 is an abundant number, since it is smaller than the sum of its proper divisors (23550901920).

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

6704661600 is a wasteful number, since it uses less digits than its factorization.

6704661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6704661600 is about 81881.9980215432. The cubic root of 6704661600 is about 1885.6407468370.

The spelling of 6704661600 in words is "six billion, seven hundred four million, six hundred sixty-one thousand, six hundred".