164979381840 has 1440 divisors, whose sum is σ = 720810472320. Its totient is φ = 30916214784.

The previous prime is 164979381797. The next prime is 164979381863. The reversal of 164979381840 is 48183979461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 641942992 + ... + 641943248.

It is an arithmetic number, because the mean of its divisors is an integer number (500562828).

Almost surely, 2^164979381840 is an apocalyptic number.

164979381840 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 164979381840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360405236160).

164979381840 is an abundant number, since it is smaller than the sum of its proper divisors (555831090480).

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

164979381840 is a wasteful number, since it uses less digits than its factorization.

164979381840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 164979381840 in words is "one hundred sixty-four billion, nine hundred seventy-nine million, three hundred eighty-one thousand, eight hundred forty".