164244487680 has 2160 divisors, whose sum is σ = 776333061504. Its totient is φ = 31770869760.

The previous prime is 164244487669. The next prime is 164244487681. The reversal of 164244487680 is 86784442461.

164244487680 is a `hidden beast` number, since 1 + 6 + 42 + 44 + 487 + 6 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164244487681) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5298209265 + ... + 5298209295.

Almost surely, 2^164244487680 is an apocalyptic number.

164244487680 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 164244487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388166530752).

164244487680 is an abundant number, since it is smaller than the sum of its proper divisors (612088573824).

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

164244487680 is a wasteful number, since it uses less digits than its factorization.

164244487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 164244487680 in words is "one hundred sixty-four billion, two hundred forty-four million, four hundred eighty-seven thousand, six hundred eighty".