164801324666880 has 1664 divisors, whose sum is σ = 678179886681600. Its totient is φ = 37522243584000.

The previous prime is 164801324666873. The next prime is 164801324666933. The reversal of 164801324666880 is 88666423108461.

It is a happy number.

It is a super-2 number, since 2×164801324666880² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58836601480 + ... + 58836604280.

Almost surely, 2^{164801324666880} is an apocalyptic number.

164801324666880 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 164801324666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339089943340800).

164801324666880 is an abundant number, since it is smaller than the sum of its proper divisors (513378562014720).

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

164801324666880 is a wasteful number, since it uses less digits than its factorization.

164801324666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 164801324666880 in words is "one hundred sixty-four trillion, eight hundred one billion, three hundred twenty-four million, six hundred sixty-six thousand, eight hundred eighty".