164468828040 has 256 divisors, whose sum is σ = 545431968000. Its totient is φ = 39341998080.

The previous prime is 164468827993. The next prime is 164468828089. The reversal of 164468828040 is 40828864461.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 72484026 + ... + 72486294.

It is an arithmetic number, because the mean of its divisors is an integer number (2130593625).

Almost surely, 2^164468828040 is an apocalyptic number.

164468828040 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 164468828040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272715984000).

164468828040 is an abundant number, since it is smaller than the sum of its proper divisors (380963139960).

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

164468828040 is a wasteful number, since it uses less digits than its factorization.

164468828040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 164468828040 in words is "one hundred sixty-four billion, four hundred sixty-eight million, eight hundred twenty-eight thousand, forty".