164063278080 has 528 divisors, whose sum is σ = 618380031360. Its totient is φ = 39977680896.

The previous prime is 164063278051. The next prime is 164063278103. The reversal of 164063278080 is 80872360461.

164063278080 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 632 + 7 + 8 + 0 + 8 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 61699791 + ... + 61702449.

Almost surely, 2^164063278080 is an apocalyptic number.

164063278080 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 164063278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309190015680).

164063278080 is an abundant number, since it is smaller than the sum of its proper divisors (454316753280).

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

164063278080 is a wasteful number, since it uses less digits than its factorization.

164063278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 164063278080 in words is "one hundred sixty-four billion, sixty-three million, two hundred seventy-eight thousand, eighty".