164471408640 has 1728 divisors, whose sum is σ = 747674928000. Its totient is φ = 33381089280.

The previous prime is 164471408573. The next prime is 164471408663. The reversal of 164471408640 is 46804174461.

164471408640 is a `hidden beast` number, since 1 + 6 + 447 + 140 + 8 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3824916459 + ... + 3824916501.

It is an arithmetic number, because the mean of its divisors is an integer number (432682250).

Almost surely, 2^164471408640 is an apocalyptic number.

164471408640 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 164471408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373837464000).

164471408640 is an abundant number, since it is smaller than the sum of its proper divisors (583203519360).

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

164471408640 is a wasteful number, since it uses less digits than its factorization.

164471408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 164471408640 in words is "one hundred sixty-four billion, four hundred seventy-one million, four hundred eight thousand, six hundred forty".