1673544320 has 128 divisors (see below), whose sum is σ = 4813257600. Its totient is φ = 543559680.

The previous prime is 1673544319. The next prime is 1673544343. The reversal of 1673544320 is 234453761.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75290 + ... + 94950.

It is an arithmetic number, because the mean of its divisors is an integer number (37603575).

Almost surely, 2^1673544320 is an apocalyptic number.

1673544320 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 1673544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406628800).

1673544320 is an abundant number, since it is smaller than the sum of its proper divisors (3139713280).

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

1673544320 is a wasteful number, since it uses less digits than its factorization.

1673544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19706 (or 19694 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 1673544320 is about 40908.9760321619. The cubic root of 1673544320 is about 1187.2597352506.

The spelling of 1673544320 in words is "one billion, six hundred seventy-three million, five hundred forty-four thousand, three hundred twenty".