164068262600 has 288 divisors, whose sum is σ = 436448761920. Its totient is φ = 56871360000.

The previous prime is 164068262597. The next prime is 164068262609. The reversal of 164068262600 is 6262860461.

It is not an unprimeable number, because it can be changed into a prime (164068262609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150107654 + ... + 150108746.

It is an arithmetic number, because the mean of its divisors is an integer number (1515447090).

Almost surely, 2^164068262600 is an apocalyptic number.

164068262600 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 164068262600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218224380960).

164068262600 is an abundant number, since it is smaller than the sum of its proper divisors (272380499320).

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

164068262600 is a wasteful number, since it uses less digits than its factorization.

164068262600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 164068262600 in words is "one hundred sixty-four billion, sixty-eight million, two hundred sixty-two thousand, six hundred".