164389616640 has 704 divisors, whose sum is σ = 604757819520. Its totient is φ = 42854842368.

The previous prime is 164389616603. The next prime is 164389616711. The reversal of 164389616640 is 46616983461.

164389616640 is a `hidden beast` number, since 1 + 6 + 438 + 9 + 6 + 166 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 593464182 + ... + 593464458.

Almost surely, 2^164389616640 is an apocalyptic number.

164389616640 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 164389616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302378909760).

164389616640 is an abundant number, since it is smaller than the sum of its proper divisors (440368202880).

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

164389616640 is an frugal number, since it uses more digits than its factorization.

164389616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 164389616640 in words is "one hundred sixty-four billion, three hundred eighty-nine million, six hundred sixteen thousand, six hundred forty".