164827353600 has 1200 divisors, whose sum is σ = 751245958848. Its totient is φ = 34756853760.

The previous prime is 164827353529. The next prime is 164827353683. The reversal of 164827353600 is 6353728461.

164827353600 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 2 + 7 + 35 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 94347927 + ... + 94349673.

Almost surely, 2^164827353600 is an apocalyptic number.

164827353600 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 164827353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375622979424).

164827353600 is an abundant number, since it is smaller than the sum of its proper divisors (586418605248).

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

164827353600 is a wasteful number, since it uses less digits than its factorization.

164827353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 164827353600 in words is "one hundred sixty-four billion, eight hundred twenty-seven million, three hundred fifty-three thousand, six hundred".