6744340512 has 144 divisors (see below), whose sum is σ = 23605283520. Its totient is φ = 1778720256.

The previous prime is 6744340459. The next prime is 6744340517. The reversal of 6744340512 is 2150434476.

6744340512 is a `hidden beast` number, since 67 + 4 + 43 + 40 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6744340512² = 90972257883608844288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6744340517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102462 + ... + 154877.

It is an arithmetic number, because the mean of its divisors is an integer number (163925580).

Almost surely, 2^6744340512 is an apocalyptic number.

It is an amenable number.

6744340512 is an abundant number, since it is smaller than the sum of its proper divisors (16860943008).

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

6744340512 is a wasteful number, since it uses less digits than its factorization.

6744340512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257375 (or 257364 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6744340512 is about 82123.9338560934. The cubic root of 6744340512 is about 1889.3532413732.

Adding to 6744340512 its reverse (2150434476), we get a palindrome (8894774988).

The spelling of 6744340512 in words is "six billion, seven hundred forty-four million, three hundred forty thousand, five hundred twelve".