164827441728 has 280 divisors, whose sum is σ = 516036153600. Its totient is φ = 51876744192.

The previous prime is 164827441699. The next prime is 164827441733. The reversal of 164827441728 is 827144728461.

It is a happy number.

164827441728 is a `hidden beast` number, since 1 + 64 + 82 + 74 + 417 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31220593 + ... + 31225871.

Almost surely, 2^164827441728 is an apocalyptic number.

164827441728 is a gapful number since it is divisible by the number (18) 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 164827441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258018076800).

164827441728 is an abundant number, since it is smaller than the sum of its proper divisors (351208711872).

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

164827441728 is a wasteful number, since it uses less digits than its factorization.

164827441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5620 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 164827441728 in words is "one hundred sixty-four billion, eight hundred twenty-seven million, four hundred forty-one thousand, seven hundred twenty-eight".