6725131371000 has 960 divisors, whose sum is σ = 28079264472480. Its totient is φ = 1446671923200.

The previous prime is 6725131370957. The next prime is 6725131371041. The reversal of 6725131371000 is 1731315276.

6725131371000 is a `hidden beast` number, since 6 + 7 + 2 + 513 + 1 + 37 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 367343847 + ... + 367362153.

Almost surely, 2^{6725131371000} is an apocalyptic number.

6725131371000 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 6725131371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14039632236240).

6725131371000 is an abundant number, since it is smaller than the sum of its proper divisors (21354133101480).

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

6725131371000 is a wasteful number, since it uses less digits than its factorization.

6725131371000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18379 (or 18341 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

Adding to 6725131371000 its reverse (1731315276), we get a palindrome (6726862686276).

The spelling of 6725131371000 in words is "six trillion, seven hundred twenty-five billion, one hundred thirty-one million, three hundred seventy-one thousand".