16793671680 has 576 divisors, whose sum is σ = 64071090720. Its totient is φ = 4204265472.

The previous prime is 16793671669. The next prime is 16793671691. The reversal of 16793671680 is 8617639761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16793671669) and next prime (16793671691).

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42301242 + ... + 42301638.

Almost surely, 2^16793671680 is an apocalyptic number.

16793671680 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 16793671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32035545360).

16793671680 is an abundant number, since it is smaller than the sum of its proper divisors (47277419040).

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

16793671680 is an equidigital number, since it uses as much as digits as its factorization.

16793671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 16793671680 in words is "sixteen billion, seven hundred ninety-three million, six hundred seventy-one thousand, six hundred eighty".