16527664384 has 576 divisors, whose sum is σ = 47244460032. Its totient is φ = 5573836800.

The previous prime is 16527664357. The next prime is 16527664399. The reversal of 16527664384 is 48346672561.

Its product of digits (5806080) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384364267 + ... + 384364309.

It is an arithmetic number, because the mean of its divisors is an integer number (82021632).

Almost surely, 2^16527664384 is an apocalyptic number.

16527664384 is a gapful number since it is divisible by the number (14) 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 16527664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23622230016).

16527664384 is an abundant number, since it is smaller than the sum of its proper divisors (30716795648).

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

16527664384 is a wasteful number, since it uses less digits than its factorization.

16527664384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 16527664384 in words is "sixteen billion, five hundred twenty-seven million, six hundred sixty-four thousand, three hundred eighty-four".