6671612337642 has 256 divisors, whose sum is σ = 17550618624000. Its totient is φ = 1839037229568.

The previous prime is 6671612337581. The next prime is 6671612337701. The reversal of 6671612337642 is 2467332161766.

It is a super-2 number, since 2×6671612337642² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1986188359 + ... + 1986191717.

It is an arithmetic number, because the mean of its divisors is an integer number (68557104000).

Almost surely, 2^{6671612337642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6671612337642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775309312000).

6671612337642 is an abundant number, since it is smaller than the sum of its proper divisors (10879006286358).

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

6671612337642 is a wasteful number, since it uses less digits than its factorization.

6671612337642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4882 (or 4876 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 6671612337642 in words is "six trillion, six hundred seventy-one billion, six hundred twelve million, three hundred thirty-seven thousand, six hundred forty-two".