164109696240 has 160 divisors (see below), whose sum is σ = 581557777920. Its totient is φ = 37501719552.

The previous prime is 164109696199. The next prime is 164109696259. The reversal of 164109696240 is 42696901461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164109696240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8973826 + ... + 8992094.

It is an arithmetic number, because the mean of its divisors is an integer number (3634736112).

Almost surely, 2^164109696240 is an apocalyptic number.

164109696240 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 164109696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290778888960).

164109696240 is an abundant number, since it is smaller than the sum of its proper divisors (417448081680).

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

164109696240 is a wasteful number, since it uses less digits than its factorization.

164109696240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23639 (or 23633 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 164109696240 in words is "one hundred sixty-four billion, one hundred nine million, six hundred ninety-six thousand, two hundred forty".