6701273890128 has 320 divisors, whose sum is σ = 20737986969600. Its totient is φ = 2067619115520.

The previous prime is 6701273890123. The next prime is 6701273890151. The reversal of 6701273890128 is 8210983721076.

It is a happy number.

It is a super-2 number, since 2×6701273890128² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6701273890121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29120125 + ... + 29349347.

It is an arithmetic number, because the mean of its divisors is an integer number (64806209280).

Almost surely, 2^{6701273890128} 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 6701273890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368993484800).

6701273890128 is an abundant number, since it is smaller than the sum of its proper divisors (14036713079472).

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

6701273890128 is a wasteful number, since it uses less digits than its factorization.

6701273890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229367 (or 229355 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 6701273890128 in words is "six trillion, seven hundred one billion, two hundred seventy-three million, eight hundred ninety thousand, one hundred twenty-eight".