164824080756 has 24 divisors (see below), whose sum is σ = 384609587040. Its totient is φ = 54938493792.

The previous prime is 164824080731. The next prime is 164824080821. The reversal of 164824080756 is 657080428461.

It is a super-3 number, since 3×164824080756³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164824080699 and 164824080708.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 111946 + ... + 584961.

It is an arithmetic number, because the mean of its divisors is an integer number (16025399460).

Almost surely, 2^164824080756 is an apocalyptic number.

It is an amenable number.

164824080756 is an abundant number, since it is smaller than the sum of its proper divisors (219785506284).

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

164824080756 is a wasteful number, since it uses less digits than its factorization.

164824080756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716623 (or 716621 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 164824080756 in words is "one hundred sixty-four billion, eight hundred twenty-four million, eighty thousand, seven hundred fifty-six".