1672896061728 has 144 divisors (see below), whose sum is σ = 4911734370816. Its totient is φ = 539536757760.

The previous prime is 1672896061663. The next prime is 1672896061777. The reversal of 1672896061728 is 8271606982761.

1672896061728 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 8 + 9 + 6 + 0 + 617 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53614900 + ... + 53646092.

It is an arithmetic number, because the mean of its divisors is an integer number (34109266464).

Almost surely, 2^{1672896061728} is an apocalyptic number.

1672896061728 is a gapful number since it is divisible by the number (18) 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 1672896061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455867185408).

1672896061728 is an abundant number, since it is smaller than the sum of its proper divisors (3238838309088).

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

1672896061728 is a wasteful number, since it uses less digits than its factorization.

1672896061728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37247 (or 37236 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1672896061728 in words is "one trillion, six hundred seventy-two billion, eight hundred ninety-six million, sixty-one thousand, seven hundred twenty-eight".