164543052240 has 640 divisors, whose sum is σ = 669055749120. Its totient is φ = 36383219712.

The previous prime is 164543052239. The next prime is 164543052269. The reversal of 164543052240 is 42250345461.

164543052240 is a `hidden beast` number, since 1 + 64 + 5 + 4 + 30 + 522 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164543052195 and 164543052204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 110208934 + ... + 110210426.

It is an arithmetic number, because the mean of its divisors is an integer number (1045399608).

Almost surely, 2^164543052240 is an apocalyptic number.

164543052240 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 164543052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334527874560).

164543052240 is an abundant number, since it is smaller than the sum of its proper divisors (504512696880).

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

164543052240 is a wasteful number, since it uses less digits than its factorization.

164543052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 164543052240 in words is "one hundred sixty-four billion, five hundred forty-three million, fifty-two thousand, two hundred forty".