1672765934112 has 576 divisors, whose sum is σ = 6136886851200. Its totient is φ = 439375104000.

The previous prime is 1672765934087. The next prime is 1672765934153. The reversal of 1672765934112 is 2114395672761.

1672765934112 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 7 + 6 + 593 + 41 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 138136314 + ... + 138148422.

It is an arithmetic number, because the mean of its divisors is an integer number (10654317450).

Almost surely, 2^{1672765934112} is an apocalyptic number.

1672765934112 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 1672765934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068443425600).

1672765934112 is an abundant number, since it is smaller than the sum of its proper divisors (4464120917088).

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

1672765934112 is a wasteful number, since it uses less digits than its factorization.

1672765934112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12406 (or 12385 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 1672765934112 in words is "one trillion, six hundred seventy-two billion, seven hundred sixty-five million, nine hundred thirty-four thousand, one hundred twelve".