1677728064672 has 576 divisors, whose sum is σ = 5732821785600. Its totient is φ = 459421839360.

The previous prime is 1677728064671. The next prime is 1677728064707. The reversal of 1677728064672 is 2764608277761.

1677728064672 is a `hidden beast` number, since 167 + 7 + 7 + 2 + 8 + 0 + 6 + 467 + 2 = 666.

It is a super-2 number, since 2×1677728064672² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1677728064671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 566224663 + ... + 566227625.

It is an arithmetic number, because the mean of its divisors is an integer number (9952815600).

Almost surely, 2^{1677728064672} is an apocalyptic number.

1677728064672 is a gapful number since it is divisible by the number (12) 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 1677728064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866410892800).

1677728064672 is an abundant number, since it is smaller than the sum of its proper divisors (4055093720928).

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

1677728064672 is a wasteful number, since it uses less digits than its factorization.

1677728064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 1677728064672 in words is "one trillion, six hundred seventy-seven billion, seven hundred twenty-eight million, sixty-four thousand, six hundred seventy-two".