6682541760 has 168 divisors, whose sum is σ = 23151906960. Its totient is φ = 1769084928.

The previous prime is 6682541741. The next prime is 6682541773. The reversal of 6682541760 is 671452866.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391974 + ... + 408666.

It is an arithmetic number, because the mean of its divisors is an integer number (137808970).

Almost surely, 2^6682541760 is an apocalyptic number.

6682541760 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 6682541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575953480).

6682541760 is an abundant number, since it is smaller than the sum of its proper divisors (16469365200).

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

6682541760 is a wasteful number, since it uses less digits than its factorization.

6682541760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16855 (or 16842 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6682541760 is about 81746.8149838267. The cubic root of 6682541760 is about 1883.5647770143.

The spelling of 6682541760 in words is "six billion, six hundred eighty-two million, five hundred forty-one thousand, seven hundred sixty".