6745141440 has 168 divisors, whose sum is σ = 23827892400. Its totient is φ = 1750063104.

The previous prime is 6745141439. The next prime is 6745141457. The reversal of 6745141440 is 441415476.

It is a happy number.

6745141440 is a `hidden beast` number, since 6 + 74 + 5 + 141 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6745141395 and 6745141404.

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 23 ways as a sum of consecutive naturals, for example, 74911 + ... + 138209.

Almost surely, 2^6745141440 is an apocalyptic number.

6745141440 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 6745141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11913946200).

6745141440 is an abundant number, since it is smaller than the sum of its proper divisors (17082750960).

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

6745141440 is a wasteful number, since it uses less digits than its factorization.

6745141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63359 (or 63346 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6745141440 is about 82128.8100486060. The cubic root of 6745141440 is about 1889.4280288197.

The spelling of 6745141440 in words is "six billion, seven hundred forty-five million, one hundred forty-one thousand, four hundred forty".