164632028400 has 540 divisors, whose sum is σ = 689147661072. Its totient is φ = 35647672320.

The previous prime is 164632028399. The next prime is 164632028401. The reversal of 164632028400 is 4820236461.

164632028400 is a `hidden beast` number, since 1 + 6 + 46 + 3 + 202 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (164632028399) and next prime (164632028401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164632028401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9088152 + ... + 9106248.

Almost surely, 2^164632028400 is an apocalyptic number.

164632028400 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 164632028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344573830536).

164632028400 is an abundant number, since it is smaller than the sum of its proper divisors (524515632672).

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

164632028400 is a wasteful number, since it uses less digits than its factorization.

164632028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18166 (or 18133 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 164632028400 in words is "one hundred sixty-four billion, six hundred thirty-two million, twenty-eight thousand, four hundred".