164260456800 has 288 divisors, whose sum is σ = 613974453120. Its totient is φ = 37724774400.

The previous prime is 164260456799. The next prime is 164260456817. The reversal of 164260456800 is 8654062461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337864 + ... + 665336.

It is an arithmetic number, because the mean of its divisors is an integer number (2131855740).

Almost surely, 2^164260456800 is an apocalyptic number.

164260456800 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 164260456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306987226560).

164260456800 is an abundant number, since it is smaller than the sum of its proper divisors (449713996320).

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

164260456800 is a wasteful number, since it uses less digits than its factorization.

164260456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327526 (or 327513 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 164260456800 in words is "one hundred sixty-four billion, two hundred sixty million, four hundred fifty-six thousand, eight hundred".