16796960640 has 384 divisors, whose sum is σ = 63036979200. Its totient is φ = 4105728000.

The previous prime is 16796960629. The next prime is 16796960669. The reversal of 16796960640 is 4606969761.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3390165 + ... + 3395115.

It is an arithmetic number, because the mean of its divisors is an integer number (164158800).

Almost surely, 2^16796960640 is an apocalyptic number.

16796960640 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 16796960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518489600).

16796960640 is an abundant number, since it is smaller than the sum of its proper divisors (46240018560).

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

16796960640 is a wasteful number, since it uses less digits than its factorization.

16796960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 16796960640 in words is "sixteen billion, seven hundred ninety-six million, nine hundred sixty thousand, six hundred forty".