1677771198642 has 256 divisors, whose sum is σ = 4392150884352. Its totient is φ = 414295326720.

The previous prime is 1677771198629. The next prime is 1677771198689. The reversal of 1677771198642 is 2468911777761.

It is a super-2 number, since 2×1677771198642² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1624172958 + ... + 1624173990.

It is an arithmetic number, because the mean of its divisors is an integer number (17156839392).

Almost surely, 2^{1677771198642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677771198642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196075442176).

1677771198642 is an abundant number, since it is smaller than the sum of its proper divisors (2714379685710).

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

1677771198642 is a wasteful number, since it uses less digits than its factorization.

1677771198642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865.

The product of its digits is 49787136, while the sum is 66.

The spelling of 1677771198642 in words is "one trillion, six hundred seventy-seven billion, seven hundred seventy-one million, one hundred ninety-eight thousand, six hundred forty-two".