6468760 has 32 divisors (see below), whose sum is σ = 14806800. Its totient is φ = 2542720.

The previous prime is 6468697. The next prime is 6468767. The reversal of 6468760 is 678646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990 + ... + 3730.

Almost surely, 2^6468760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403400).

6468760 is an abundant number, since it is smaller than the sum of its proper divisors (8338040).

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

6468760 is a wasteful number, since it uses less digits than its factorization.

6468760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 6468760 is about 2543.3757095640. The cubic root of 6468760 is about 186.3260938564.

It can be divided in two parts, 6468 and 760, that multiplied together give a triangular number (4915680 = T₃₁₃₅).

The spelling of 6468760 in words is "six million, four hundred sixty-eight thousand, seven hundred sixty".