164875616400 has 360 divisors, whose sum is σ = 585166769152. Its totient is φ = 39650688000.

The previous prime is 164875616393. The next prime is 164875616413. The reversal of 164875616400 is 4616578461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 164875616400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18435930 + ... + 18444870.

Almost surely, 2^164875616400 is an apocalyptic number.

164875616400 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 164875616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292583384576).

164875616400 is an abundant number, since it is smaller than the sum of its proper divisors (420291152752).

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

164875616400 is a wasteful number, since it uses less digits than its factorization.

164875616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9111 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 164875616400 in words is "one hundred sixty-four billion, eight hundred seventy-five million, six hundred sixteen thousand, four hundred".