164439797760 has 1560 divisors, whose sum is σ = 730250584800. Its totient is φ = 35375284224.

The previous prime is 164439797741. The next prime is 164439797807. The reversal of 164439797760 is 67797934461.

164439797760 is a `hidden beast` number, since 1 + 6 + 4 + 439 + 79 + 77 + 60 = 666.

It is a super-3 number, since 3×164439797760³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9672929272 + ... + 9672929288.

Almost surely, 2^164439797760 is an apocalyptic number.

164439797760 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 164439797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365125292400).

164439797760 is an abundant number, since it is smaller than the sum of its proper divisors (565810787040).

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

164439797760 is an frugal number, since it uses more digits than its factorization.

164439797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 164439797760 in words is "one hundred sixty-four billion, four hundred thirty-nine million, seven hundred ninety-seven thousand, seven hundred sixty".