164764454400 has 1920 divisors, whose sum is σ = 772883865600. Its totient is φ = 33642086400.

The previous prime is 164764454363. The next prime is 164764454401. The reversal of 164764454400 is 4454467461.

164764454400 is a `hidden beast` number, since 1 + 6 + 47 + 64 + 4 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164764454401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5314982385 + ... + 5314982415.

It is an arithmetic number, because the mean of its divisors is an integer number (402543680).

Almost surely, 2^164764454400 is an apocalyptic number.

164764454400 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 164764454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386441932800).

164764454400 is an abundant number, since it is smaller than the sum of its proper divisors (608119411200).

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

164764454400 is an equidigital number, since it uses as much as digits as its factorization.

164764454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 164764454400 in words is "one hundred sixty-four billion, seven hundred sixty-four million, four hundred fifty-four thousand, four hundred".