6723402773760 has 432 divisors, whose sum is σ = 23995659127440. Its totient is φ = 1736807546880.

The previous prime is 6723402773741. The next prime is 6723402773779. The reversal of 6723402773760 is 673772043276.

It is a happy number.

6723402773760 is a `hidden beast` number, since 67 + 23 + 402 + 77 + 37 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6723402773741) and next prime (6723402773779).

It can be written as a sum of positive squares in 8 ways, for example, as 19363279104 + 6704039494656 = 139152^2 + 2589216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6723402773697 and 6723402773706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97574520 + ... + 97643400.

Almost surely, 2^{6723402773760} is an apocalyptic number.

6723402773760 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 6723402773760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997829563720).

6723402773760 is an abundant number, since it is smaller than the sum of its proper divisors (17272256353680).

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

6723402773760 is a wasteful number, since it uses less digits than its factorization.

6723402773760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69174 (or 69157 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 54.

The spelling of 6723402773760 in words is "six trillion, seven hundred twenty-three billion, four hundred two million, seven hundred seventy-three thousand, seven hundred sixty".