164138290680 has 256 divisors, whose sum is σ = 608202040320. Its totient is φ = 34508353536.

The previous prime is 164138290643. The next prime is 164138290697. The reversal of 164138290680 is 86092831461.

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, 3063804 + ... + 3116916.

It is an arithmetic number, because the mean of its divisors is an integer number (2375789220).

Almost surely, 2^164138290680 is an apocalyptic number.

164138290680 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 164138290680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304101020160).

164138290680 is an abundant number, since it is smaller than the sum of its proper divisors (444063749640).

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

164138290680 is a wasteful number, since it uses less digits than its factorization.

164138290680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53430 (or 53426 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 164138290680 in words is "one hundred sixty-four billion, one hundred thirty-eight million, two hundred ninety thousand, six hundred eighty".