164407541760 has 912 divisors, whose sum is σ = 714506712192. Its totient is φ = 33973862400.

The previous prime is 164407541723. The next prime is 164407541777. The reversal of 164407541760 is 67145704461.

164407541760 is a `hidden beast` number, since 1 + 6 + 4 + 40 + 7 + 541 + 7 + 60 = 666.

It is a super-3 number, since 3×164407541760³ (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908328870 + ... + 908329050.

Almost surely, 2^164407541760 is an apocalyptic number.

164407541760 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 164407541760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357253356096).

164407541760 is an abundant number, since it is smaller than the sum of its proper divisors (550099170432).

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

164407541760 is an equidigital number, since it uses as much as digits as its factorization.

164407541760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 164407541760 in words is "one hundred sixty-four billion, four hundred seven million, five hundred forty-one thousand, seven hundred sixty".