6740064000 has 576 divisors, whose sum is σ = 25827984000. Its totient is φ = 1728921600.

The previous prime is 6740063987. The next prime is 6740064011. The reversal of 6740064000 is 4600476.

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 (27).

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, 25055866 + ... + 25056134.

It is an arithmetic number, because the mean of its divisors is an integer number (44840250).

Almost surely, 2^6740064000 is an apocalyptic number.

6740064000 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 6740064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913992000).

6740064000 is an abundant number, since it is smaller than the sum of its proper divisors (19087920000).

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

6740064000 is a wasteful number, since it uses less digits than its factorization.

6740064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 308 counting only the distinct ones).

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

The square root of 6740064000 is about 82097.8927865996. The cubic root of 6740064000 is about 1888.9538175810.

Adding to 6740064000 its reverse (4600476), we get a palindrome (6744664476).

The spelling of 6740064000 in words is "six billion, seven hundred forty million, sixty-four thousand".