164340334523640 has 384 divisors, whose sum is σ = 555333553877760. Its totient is φ = 38854337280000.

The previous prime is 164340334523639. The next prime is 164340334523689. The reversal of 164340334523640 is 46325433043461.

It is a self number, because there is not a number n which added to its sum of digits gives 164340334523640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1697208907 + ... + 1697305733.

It is an arithmetic number, because the mean of its divisors is an integer number (1446181129890).

Almost surely, 2^{164340334523640} is an apocalyptic number.

164340334523640 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 164340334523640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277666776938880).

164340334523640 is an abundant number, since it is smaller than the sum of its proper divisors (390993219354120).

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

164340334523640 is a wasteful number, since it uses less digits than its factorization.

164340334523640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99755 (or 99740 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 164340334523640 in words is "one hundred sixty-four trillion, three hundred forty billion, three hundred thirty-four million, five hundred twenty-three thousand, six hundred forty".