164080926720 has 480 divisors, whose sum is σ = 602451440640. Its totient is φ = 42325770240.

The previous prime is 164080926703. The next prime is 164080926721. The reversal of 164080926720 is 27629080461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (164080926721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68565844 + ... + 68568236.

It is an arithmetic number, because the mean of its divisors is an integer number (1255107168).

Almost surely, 2^164080926720 is an apocalyptic number.

164080926720 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 164080926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301225720320).

164080926720 is an abundant number, since it is smaller than the sum of its proper divisors (438370513920).

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

164080926720 is an equidigital number, since it uses as much as digits as its factorization.

164080926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 164080926720 in words is "one hundred sixty-four billion, eighty million, nine hundred twenty-six thousand, seven hundred twenty".