16032907376640 has 2304 divisors, whose sum is σ = 72773493811200. Its totient is φ = 3310859059200.

The previous prime is 16032907376623. The next prime is 16032907376671. The reversal of 16032907376640 is 4667370923061.

It is a happy number.

16032907376640 is a `hidden beast` number, since 1 + 603 + 29 + 0 + 7 + 3 + 7 + 6 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40385156922 + ... + 40385157318.

It is an arithmetic number, because the mean of its divisors is an integer number (31585717800).

Almost surely, 2^{16032907376640} is an apocalyptic number.

16032907376640 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 16032907376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386746905600).

16032907376640 is an abundant number, since it is smaller than the sum of its proper divisors (56740586434560).

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

16032907376640 is a wasteful number, since it uses less digits than its factorization.

16032907376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 16032907376640 in words is "sixteen trillion, thirty-two billion, nine hundred seven million, three hundred seventy-six thousand, six hundred forty".