1672128299664 has 135 divisors (see below), whose sum is σ = 4712126383497. Its totient is φ = 553532982912.

The previous prime is 1672128299617. The next prime is 1672128299669. The reversal of 1672128299664 is 4669928212761.

The square root of 1672128299664 is 1293108.

It is a perfect power (a square), and thus also a powerful number.

1672128299664 is a `hidden beast` number, since 167 + 2 + 128 + 299 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1638348800400 + 33779499264 = 1279980^2 + 183792^2 .

It is not an unprimeable number, because it can be changed into a prime (1672128299669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3056907039 + ... + 3056907585.

Almost surely, 2^{1672128299664} is an apocalyptic number.

1672128299664 is the 1293108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672128299664

1672128299664 is an abundant number, since it is smaller than the sum of its proper divisors (3039998083833).

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

1672128299664 is an frugal number, since it uses more digits than its factorization.

1672128299664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 749 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 1672128299664 in words is "one trillion, six hundred seventy-two billion, one hundred twenty-eight million, two hundred ninety-nine thousand, six hundred sixty-four".