172445374080 has 768 divisors, whose sum is σ = 747583948800. Its totient is φ = 35714359296.

The previous prime is 172445374067. The next prime is 172445374147. The reversal of 172445374080 is 80473544271.

172445374080 is a `hidden beast` number, since 1 + 72 + 4 + 4 + 537 + 40 + 8 + 0 = 666.

It is a super-3 number, since 3×172445374080³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17614947 + ... + 17624733.

It is an arithmetic number, because the mean of its divisors is an integer number (973416600).

Almost surely, 2^172445374080 is an apocalyptic number.

172445374080 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 172445374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373791974400).

172445374080 is an abundant number, since it is smaller than the sum of its proper divisors (575138574720).

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

172445374080 is a wasteful number, since it uses less digits than its factorization.

172445374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9846 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 172445374080 in words is "one hundred seventy-two billion, four hundred forty-five million, three hundred seventy-four thousand, eighty".