164345163840 has 1120 divisors, whose sum is σ = 695188327680. Its totient is φ = 36329472000.

The previous prime is 164345163823. The next prime is 164345163841. The reversal of 164345163840 is 48361543461.

164345163840 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 5 + 1 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×164345163840³ (a number of 35 digits) contains 333 as substring.

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 (164345163841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 374362341 + ... + 374362779.

It is an arithmetic number, because the mean of its divisors is an integer number (620703864).

Almost surely, 2^164345163840 is an apocalyptic number.

164345163840 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 164345163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347594163840).

164345163840 is an abundant number, since it is smaller than the sum of its proper divisors (530843163840).

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

164345163840 is a wasteful number, since it uses less digits than its factorization.

164345163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 164345163840 in words is "one hundred sixty-four billion, three hundred forty-five million, one hundred sixty-three thousand, eight hundred forty".