6723644760 has 576 divisors, whose sum is σ = 27785721600. Its totient is φ = 1453987584.

The previous prime is 6723644747. The next prime is 6723644771. The reversal of 6723644760 is 674463276.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9048949 + ... + 9049691.

It is an arithmetic number, because the mean of its divisors is an integer number (48239100).

Almost surely, 2^6723644760 is an apocalyptic number.

6723644760 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 6723644760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13892860800).

6723644760 is an abundant number, since it is smaller than the sum of its proper divisors (21062076840).

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

6723644760 is a wasteful number, since it uses less digits than its factorization.

6723644760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 6723644760 is about 81997.8338738286. The cubic root of 6723644760 is about 1887.4186983679.

The spelling of 6723644760 in words is "six billion, seven hundred twenty-three million, six hundred forty-four thousand, seven hundred sixty".