1677381890760 has 192 divisors, whose sum is σ = 5630441122800. Its totient is φ = 432850010112.

The previous prime is 1677381890747. The next prime is 1677381890761. The reversal of 1677381890760 is 670981837761.

1677381890760 is a `hidden beast` number, since 167 + 7 + 381 + 8 + 90 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1013199270084 + 664182620676 = 1006578^2 + 814974^2 .

It is a super-2 number, since 2×1677381890760² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1677381890761) 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 47 ways as a sum of consecutive naturals, for example, 790696 + ... + 1994984.

Almost surely, 2^{1677381890760} is an apocalyptic number.

1677381890760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1677381890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815220561400).

1677381890760 is an abundant number, since it is smaller than the sum of its proper divisors (3953059232040).

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

1677381890760 is a wasteful number, since it uses less digits than its factorization.

1677381890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204432 (or 1204425 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 1677381890760 in words is "one trillion, six hundred seventy-seven billion, three hundred eighty-one million, eight hundred ninety thousand, seven hundred sixty".