164579954474880 has 4096 divisors, whose sum is σ = 767517327360000. Its totient is φ = 33123578019840.

The previous prime is 164579954474839. The next prime is 164579954474891. The reversal of 164579954474880 is 88474459975461.

164579954474880 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 7 + 9 + 95 + 4 + 47 + 488 + 0 = 666.

164579954474880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164579954474880² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164579954474880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 108921213325 + ... + 108921214835.

It is an arithmetic number, because the mean of its divisors is an integer number (187382160000).

Almost surely, 2^{164579954474880} is an apocalyptic number.

164579954474880 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 164579954474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383758663680000).

164579954474880 is an abundant number, since it is smaller than the sum of its proper divisors (602937372885120).

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

164579954474880 is a wasteful number, since it uses less digits than its factorization.

164579954474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 9754214400, while the sum is 81.

The spelling of 164579954474880 in words is "one hundred sixty-four trillion, five hundred seventy-nine billion, nine hundred fifty-four million, four hundred seventy-four thousand, eight hundred eighty".