16738656480 has 1344 divisors, whose sum is σ = 77739056640. Its totient is φ = 3305484288.

The previous prime is 16738656457. The next prime is 16738656481. The reversal of 16738656480 is 8465683761.

16738656480 is a `hidden beast` number, since 1 + 6 + 73 + 8 + 6 + 564 + 8 + 0 = 666.

16738656480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16738656480³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16738656481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 201670519 + ... + 201670601.

It is an arithmetic number, because the mean of its divisors is an integer number (57841560).

Almost surely, 2^16738656480 is an apocalyptic number.

16738656480 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 16738656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38869528320).

16738656480 is an abundant number, since it is smaller than the sum of its proper divisors (61000400160).

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

16738656480 is a wasteful number, since it uses less digits than its factorization.

16738656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 16738656480 in words is "sixteen billion, seven hundred thirty-eight million, six hundred fifty-six thousand, four hundred eighty".