16975704672 has 144 divisors (see below), whose sum is σ = 49787861760. Its totient is φ = 5483923200.

The previous prime is 16975704659. The next prime is 16975704677. The reversal of 16975704672 is 27640757961.

16975704672 is a `hidden beast` number, since 1 + 6 + 9 + 7 + 570 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×16975704672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16975704677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199397 + ... + 1213467.

It is an arithmetic number, because the mean of its divisors is an integer number (345749040).

Almost surely, 2^16975704672 is an apocalyptic number.

16975704672 is a gapful number since it is divisible by the number (12) 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 16975704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893930880).

16975704672 is an abundant number, since it is smaller than the sum of its proper divisors (32812157088).

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

16975704672 is a wasteful number, since it uses less digits than its factorization.

16975704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14217 (or 14206 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 16975704672 in words is "sixteen billion, nine hundred seventy-five million, seven hundred four thousand, six hundred seventy-two".