1677981272768 has 56 divisors (see below), whose sum is σ = 3365931088800. Its totient is φ = 829888563200.

The previous prime is 1677981272731. The next prime is 1677981272783. The reversal of 1677981272768 is 8672721897761.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6657005 + ... + 6904467.

It is an arithmetic number, because the mean of its divisors is an integer number (60105912300).

Almost surely, 2^{1677981272768} 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 1677981272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682965544400).

1677981272768 is an abundant number, since it is smaller than the sum of its proper divisors (1687949816032).

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

1677981272768 is a wasteful number, since it uses less digits than its factorization.

1677981272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248625 (or 248615 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 71.

The spelling of 1677981272768 in words is "one trillion, six hundred seventy-seven billion, nine hundred eighty-one million, two hundred seventy-two thousand, seven hundred sixty-eight".