6739646760 has 864 divisors, whose sum is σ = 29667980160. Its totient is φ = 1296345600.

The previous prime is 6739646741. The next prime is 6739646761. The reversal of 6739646760 is 676469376.

It is a junction number, because it is equal to n+sod(n) for n = 6739646697 and 6739646706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6739646761) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 217407945 + ... + 217407975.

It is an arithmetic number, because the mean of its divisors is an integer number (34337940).

Almost surely, 2^6739646760 is an apocalyptic number.

6739646760 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 6739646760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833990080).

6739646760 is an abundant number, since it is smaller than the sum of its proper divisors (22928333400).

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

6739646760 is a wasteful number, since it uses less digits than its factorization.

6739646760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The square root of 6739646760 is about 82095.3516345475. The cubic root of 6739646760 is about 1888.9148385567.

The spelling of 6739646760 in words is "six billion, seven hundred thirty-nine million, six hundred forty-six thousand, seven hundred sixty".