6725709472356 has 720 divisors, whose sum is σ = 22015126425600. Its totient is φ = 1751590811520.

The previous prime is 6725709472249. The next prime is 6725709472357. The reversal of 6725709472356 is 6532749075276.

It is a happy number.

6725709472356 is a `hidden beast` number, since 6 + 7 + 2 + 570 + 9 + 4 + 7 + 2 + 3 + 56 = 666.

It is a super-3 number, since 3×6725709472356³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6725709472293 and 6725709472302.

It is not an unprimeable number, because it can be changed into a prime (6725709472357) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2491925095 + ... + 2491927793.

It is an arithmetic number, because the mean of its divisors is an integer number (30576564480).

Almost surely, 2^{6725709472356} 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 6725709472356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007563212800).

6725709472356 is an abundant number, since it is smaller than the sum of its proper divisors (15289416953244).

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

6725709472356 is a wasteful number, since it uses less digits than its factorization.

6725709472356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 6725709472356 in words is "six trillion, seven hundred twenty-five billion, seven hundred nine million, four hundred seventy-two thousand, three hundred fifty-six".