164347907834880 has 3520 divisors, whose sum is σ = 750683260293120. Its totient is φ = 33394714214400.

The previous prime is 164347907834863. The next prime is 164347907834881. The reversal of 164347907834880 is 88438709743461.

164347907834880 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 79 + 0 + 78 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a super-2 number, since 2×164347907834880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 164347907834799 and 164347907834808.

It is not an unprimeable number, because it can be changed into a prime (164347907834881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 392238443311 + ... + 392238443729.

It is an arithmetic number, because the mean of its divisors is an integer number (213262289856).

Almost surely, 2^{164347907834880} is an apocalyptic number.

164347907834880 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 164347907834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375341630146560).

164347907834880 is an abundant number, since it is smaller than the sum of its proper divisors (586335352458240).

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

164347907834880 is a wasteful number, since it uses less digits than its factorization.

164347907834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 164347907834880 in words is "one hundred sixty-four trillion, three hundred forty-seven billion, nine hundred seven million, eight hundred thirty-four thousand, eight hundred eighty".