16643632254480 has 1280 divisors, whose sum is σ = 75743266406400. Its totient is φ = 3252187791360.

The previous prime is 16643632254451. The next prime is 16643632254481. The reversal of 16643632254480 is 8445223634661.

16643632254480 is a `hidden beast` number, since 1 + 6 + 64 + 3 + 6 + 32 + 2 + 544 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16643632254481) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5154421506 + ... + 5154424734.

It is an arithmetic number, because the mean of its divisors is an integer number (59174426880).

Almost surely, 2^{16643632254480} is an apocalyptic number.

16643632254480 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 16643632254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37871633203200).

16643632254480 is an abundant number, since it is smaller than the sum of its proper divisors (59099634151920).

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

16643632254480 is a wasteful number, since it uses less digits than its factorization.

16643632254480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 16643632254480 in words is "sixteen trillion, six hundred forty-three billion, six hundred thirty-two million, two hundred fifty-four thousand, four hundred eighty".