6704640000 has 520 divisors, whose sum is σ = 25076910320. Its totient is φ = 1769472000.

The previous prime is 6704639989. The next prime is 6704640017. The reversal of 6704640000 is 464076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119952 + ... + 69120048.

Almost surely, 2^6704640000 is an apocalyptic number.

6704640000 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 6704640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538455160).

6704640000 is an abundant number, since it is smaller than the sum of its proper divisors (18372270320).

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

6704640000 is an frugal number, since it uses more digits than its factorization.

6704640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6704640000 is about 81881.8661243135. The cubic root of 6704640000 is about 1885.6387218835.

The spelling of 6704640000 in words is "six billion, seven hundred four million, six hundred forty thousand".