6743608560 has 640 divisors, whose sum is σ = 26451640320. Its totient is φ = 1567641600.

The previous prime is 6743608549. The next prime is 6743608607. The reversal of 6743608560 is 658063476.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53099217 + ... + 53099343.

It is an arithmetic number, because the mean of its divisors is an integer number (41330688).

Almost surely, 2^6743608560 is an apocalyptic number.

6743608560 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 6743608560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225820160).

6743608560 is an abundant number, since it is smaller than the sum of its proper divisors (19708031760).

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

6743608560 is a wasteful number, since it uses less digits than its factorization.

6743608560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6743608560 is about 82119.4773485560. The cubic root of 6743608560 is about 1889.2848894510.

The spelling of 6743608560 in words is "six billion, seven hundred forty-three million, six hundred eight thousand, five hundred sixty".