164011478400 has 1536 divisors, whose sum is σ = 759487104000. Its totient is φ = 33575731200.

The previous prime is 164011478363. The next prime is 164011478417. The reversal of 164011478400 is 4874110461.

164011478400 is a `hidden beast` number, since 1 + 640 + 1 + 1 + 4 + 7 + 8 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 592099062 + ... + 592099338.

It is an arithmetic number, because the mean of its divisors is an integer number (494457750).

Almost surely, 2^164011478400 is an apocalyptic number.

164011478400 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 164011478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379743552000).

164011478400 is an abundant number, since it is smaller than the sum of its proper divisors (595475625600).

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

164011478400 is a wasteful number, since it uses less digits than its factorization.

164011478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 164011478400 its reverse (4874110461), we get a palindrome (168885588861).

It can be divided in two parts, 164011 and 478400, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 164011478400 in words is "one hundred sixty-four billion, eleven million, four hundred seventy-eight thousand, four hundred".