1672685590400 has 192 divisors, whose sum is σ = 4509833740560. Its totient is φ = 607961088000.

The previous prime is 1672685590379. The next prime is 1672685590409. The reversal of 1672685590400 is 40955862761.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1672685590409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82956320 + ... + 82976480.

Almost surely, 2^{1672685590400} is an apocalyptic number.

1672685590400 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 1672685590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254916870280).

1672685590400 is an abundant number, since it is smaller than the sum of its proper divisors (2837148150160).

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

1672685590400 is a wasteful number, since it uses less digits than its factorization.

1672685590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22553 (or 22536 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 1672685590400 in words is "one trillion, six hundred seventy-two billion, six hundred eighty-five million, five hundred ninety thousand, four hundred".