173728304640 has 480 divisors, whose sum is σ = 659223556992. Its totient is φ = 41932800000.

The previous prime is 173728304593. The next prime is 173728304693. The reversal of 173728304640 is 46403827371.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63612075 + ... + 63614805.

Almost surely, 2^173728304640 is an apocalyptic number.

173728304640 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 173728304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329611778496).

173728304640 is an abundant number, since it is smaller than the sum of its proper divisors (485495252352).

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

173728304640 is a wasteful number, since it uses less digits than its factorization.

173728304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 173728304640 in words is "one hundred seventy-three billion, seven hundred twenty-eight million, three hundred four thousand, six hundred forty".