164407785984 has 720 divisors, whose sum is σ = 548112007872. Its totient is φ = 47317450752.

The previous prime is 164407785943. The next prime is 164407785989. The reversal of 164407785984 is 489587704461.

164407785984 is a `hidden beast` number, since 1 + 64 + 407 + 7 + 85 + 98 + 4 = 666.

It is a super-3 number, since 3×164407785984³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164407785989) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1200056764 + ... + 1200056900.

Almost surely, 2^164407785984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164407785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274056003936).

164407785984 is an abundant number, since it is smaller than the sum of its proper divisors (383704221888).

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

164407785984 is a wasteful number, since it uses less digits than its factorization.

164407785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 164407785984 in words is "one hundred sixty-four billion, four hundred seven million, seven hundred eighty-five thousand, nine hundred eighty-four".