164656640600 has 96 divisors (see below), whose sum is σ = 397577737920. Its totient is φ = 63370581120.

The previous prime is 164656640573. The next prime is 164656640609. The reversal of 164656640600 is 6046656461.

It is a super-2 number, since 2×164656640600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164656640609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433319 + ... + 719081.

It is an arithmetic number, because the mean of its divisors is an integer number (4141434770).

Almost surely, 2^164656640600 is an apocalyptic number.

164656640600 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 164656640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198788868960).

164656640600 is an abundant number, since it is smaller than the sum of its proper divisors (232921097320).

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

164656640600 is a wasteful number, since it uses less digits than its factorization.

164656640600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285889 (or 285880 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 164656640600 in words is "one hundred sixty-four billion, six hundred fifty-six million, six hundred forty thousand, six hundred".