6725696889600 has 1728 divisors, whose sum is σ = 29096393961600. Its totient is φ = 1504192757760.

The previous prime is 6725696889511. The next prime is 6725696889623. The reversal of 6725696889600 is 69886965276.

6725696889600 is a `hidden beast` number, since 6 + 7 + 2 + 5 + 6 + 9 + 6 + 8 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×6725696889600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1107472164 + ... + 1107478236.

It is an arithmetic number, because the mean of its divisors is an integer number (16838190950).

Almost surely, 2^{6725696889600} is an apocalyptic number.

6725696889600 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 6725696889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548196980800).

6725696889600 is an abundant number, since it is smaller than the sum of its proper divisors (22370697072000).

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

6725696889600 is a wasteful number, since it uses less digits than its factorization.

6725696889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 6725696889600 in words is "six trillion, seven hundred twenty-five billion, six hundred ninety-six million, eight hundred eighty-nine thousand, six hundred".