6704465264640 has 2880 divisors, whose sum is σ = 29520120591360. Its totient is φ = 1432564531200.

The previous prime is 6704465264561. The next prime is 6704465264677. The reversal of 6704465264640 is 464625644076.

6704465264640 is a `hidden beast` number, since 6 + 70 + 4 + 4 + 6 + 526 + 4 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142648197097 + ... + 142648197143.

It is an arithmetic number, because the mean of its divisors is an integer number (10250041872).

Almost surely, 2^{6704465264640} is an apocalyptic number.

6704465264640 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 6704465264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760060295680).

6704465264640 is an abundant number, since it is smaller than the sum of its proper divisors (22815655326720).

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

6704465264640 is a wasteful number, since it uses less digits than its factorization.

6704465264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 6704465264640 in words is "six trillion, seven hundred four billion, four hundred sixty-five million, two hundred sixty-four thousand, six hundred forty".