164432751840 has 1152 divisors, whose sum is σ = 725097139200. Its totient is φ = 33995427840.

The previous prime is 164432751793. The next prime is 164432751841. The reversal of 164432751840 is 48157234461.

164432751840 is a `hidden beast` number, since 1 + 6 + 443 + 27 + 5 + 184 + 0 = 666.

It is a super-3 number, since 3×164432751840³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164432751841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 303941970 + ... + 303942510.

It is an arithmetic number, because the mean of its divisors is an integer number (629424600).

Almost surely, 2^164432751840 is an apocalyptic number.

164432751840 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 164432751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362548569600).

164432751840 is an abundant number, since it is smaller than the sum of its proper divisors (560664387360).

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

164432751840 is a wasteful number, since it uses less digits than its factorization.

164432751840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 164432751840 in words is "one hundred sixty-four billion, four hundred thirty-two million, seven hundred fifty-one thousand, eight hundred forty".