6671725123000 has 1024 divisors, whose sum is σ = 20374245964800. Its totient is φ = 1992130560000.

The previous prime is 6671725122973. The next prime is 6671725123033. The reversal of 6671725123000 is 3215271766.

It is a super-2 number, since 2×6671725123000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8630950614 + ... + 8630951386.

It is an arithmetic number, because the mean of its divisors is an integer number (19896724575).

Almost surely, 2^{6671725123000} 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 6671725123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10187122982400).

6671725123000 is an abundant number, since it is smaller than the sum of its proper divisors (13702520841800).

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

6671725123000 is a wasteful number, since it uses less digits than its factorization.

6671725123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 6671725123000 in words is "six trillion, six hundred seventy-one billion, seven hundred twenty-five million, one hundred twenty-three thousand".