16768648960 has 288 divisors, whose sum is σ = 48092147712. Its totient is φ = 5480939520.

The previous prime is 16768648957. The next prime is 16768648969. The reversal of 16768648960 is 6984686761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16768648969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20276067 + ... + 20276893.

It is an arithmetic number, because the mean of its divisors is an integer number (166986624).

Almost surely, 2^16768648960 is an apocalyptic number.

16768648960 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 16768648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24046073856).

16768648960 is an abundant number, since it is smaller than the sum of its proper divisors (31323498752).

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

16768648960 is an equidigital number, since it uses as much as digits as its factorization.

16768648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 16768648960 in words is "sixteen billion, seven hundred sixty-eight million, six hundred forty-eight thousand, nine hundred sixty".