6744542760 has 384 divisors, whose sum is σ = 23917420800. Its totient is φ = 1706987520.

The previous prime is 6744542759. The next prime is 6744542773. The reversal of 6744542760 is 672454476.

6744542760 is a `hidden beast` number, since 6 + 7 + 44 + 542 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 20013312 + ... + 20013648.

It is an arithmetic number, because the mean of its divisors is an integer number (62284950).

Almost surely, 2^6744542760 is an apocalyptic number.

6744542760 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 6744542760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958710400).

6744542760 is an abundant number, since it is smaller than the sum of its proper divisors (17172878040).

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

6744542760 is a wasteful number, since it uses less digits than its factorization.

6744542760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 6744542760 is about 82125.1652053133. The cubic root of 6744542760 is about 1889.3721270396.

The spelling of 6744542760 in words is "six billion, seven hundred forty-four million, five hundred forty-two thousand, seven hundred sixty".