1673894880 has 288 divisors, whose sum is σ = 6663384000. Its totient is φ = 382491648.

The previous prime is 1673894869. The next prime is 1673894903. The reversal of 1673894880 is 884983761.

1673894880 is a `hidden beast` number, since 16 + 73 + 89 + 488 + 0 = 666.

1673894880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492226 + ... + 495614.

It is an arithmetic number, because the mean of its divisors is an integer number (23136750).

Almost surely, 2^1673894880 is an apocalyptic number.

1673894880 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 1673894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331692000).

1673894880 is an abundant number, since it is smaller than the sum of its proper divisors (4989489120).

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

1673894880 is a wasteful number, since it uses less digits than its factorization.

1673894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3431 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1673894880 is about 40913.2604420621. The cubic root of 1673894880 is about 1187.3426285269.

The spelling of 1673894880 in words is "one billion, six hundred seventy-three million, eight hundred ninety-four thousand, eight hundred eighty".