173340978946560 has 1280 divisors, whose sum is σ = 673878115468800. Its totient is φ = 42606886256640.

The previous prime is 173340978946463. The next prime is 173340978946561. The reversal of 173340978946560 is 65649879043371.

173340978946560 is a `hidden beast` number, since 1 + 7 + 3 + 3 + 409 + 78 + 94 + 6 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (173340978946561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3935878140 + ... + 3935922180.

It is an arithmetic number, because the mean of its divisors is an integer number (526467277710).

Almost surely, 2^{173340978946560} is an apocalyptic number.

173340978946560 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 173340978946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336939057734400).

173340978946560 is an abundant number, since it is smaller than the sum of its proper divisors (500537136522240).

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

173340978946560 is an frugal number, since it uses more digits than its factorization.

173340978946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44141 (or 44107 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 173340978946560 in words is "one hundred seventy-three trillion, three hundred forty billion, nine hundred seventy-eight million, nine hundred forty-six thousand, five hundred sixty".