164668308480 has 528 divisors, whose sum is σ = 637281931104. Its totient is φ = 40529756160.

The previous prime is 164668308439. The next prime is 164668308481. The reversal of 164668308480 is 84803866461.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164668308481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16168990 + ... + 16179170.

Almost surely, 2^164668308480 is an apocalyptic number.

164668308480 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 164668308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318640965552).

164668308480 is an abundant number, since it is smaller than the sum of its proper divisors (472613622624).

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

164668308480 is a wasteful number, since it uses less digits than its factorization.

164668308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 164668308480 in words is "one hundred sixty-four billion, six hundred sixty-eight million, three hundred eight thousand, four hundred eighty".