164720860080 has 160 divisors (see below), whose sum is σ = 586639024128. Its totient is φ = 37453286400.

The previous prime is 164720860079. The next prime is 164720860081. The reversal of 164720860080 is 80068027461.

It is an interprime number because it is at equal distance from previous prime (164720860079) and next prime (164720860081).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (164720860081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 64210 + ... + 577550.

Almost surely, 2^164720860080 is an apocalyptic number.

164720860080 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 164720860080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293319512064).

164720860080 is an abundant number, since it is smaller than the sum of its proper divisors (421918164048).

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

164720860080 is a wasteful number, since it uses less digits than its factorization.

164720860080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513555 (or 513549 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 164720860080 in words is "one hundred sixty-four billion, seven hundred twenty million, eight hundred sixty thousand, eighty".