165627006336 has 640 divisors, whose sum is σ = 563032166400. Its totient is φ = 47875276800.

The previous prime is 165627006319. The next prime is 165627006353. The reversal of 165627006336 is 633600726561.

165627006336 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 2 + 7 + 0 + 0 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (165627006319) and next prime (165627006353).

It is a junction number, because it is equal to n+sod(n) for n = 165627006291 and 165627006300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 279303256 + ... + 279303848.

It is an arithmetic number, because the mean of its divisors is an integer number (879737760).

Almost surely, 2^165627006336 is an apocalyptic number.

165627006336 is a gapful number since it is divisible by the number (16) 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 165627006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281516083200).

165627006336 is an abundant number, since it is smaller than the sum of its proper divisors (397405160064).

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

165627006336 is a wasteful number, since it uses less digits than its factorization.

165627006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 165627006336 in words is "one hundred sixty-five billion, six hundred twenty-seven million, six thousand, three hundred thirty-six".