6745589760 has 768 divisors, whose sum is σ = 28178841600. Its totient is φ = 1337720832.

The previous prime is 6745589729. The next prime is 6745589777. The reversal of 6745589760 is 679855476.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×6745589760³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 6745589760.

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, 53114817 + ... + 53114943.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^6745589760 is an apocalyptic number.

6745589760 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 6745589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14089420800).

6745589760 is an abundant number, since it is smaller than the sum of its proper divisors (21433251840).

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

6745589760 is a wasteful number, since it uses less digits than its factorization.

6745589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The square root of 6745589760 is about 82131.5393743475. The cubic root of 6745589760 is about 1889.4698885601.

The spelling of 6745589760 in words is "six billion, seven hundred forty-five million, five hundred eighty-nine thousand, seven hundred sixty".