16783879680 has 480 divisors, whose sum is σ = 62495937504. Its totient is φ = 4147642368.

The previous prime is 16783879661. The next prime is 16783879699. The reversal of 16783879680 is 8697838761.

16783879680 is a `hidden beast` number, since 167 + 8 + 387 + 96 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16783879661) and next prime (16783879699).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16783879680² (a number of 21 digits) contains 22 as substring.

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, 28592347 + ... + 28592933.

Almost surely, 2^16783879680 is an apocalyptic number.

16783879680 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 16783879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31247968752).

16783879680 is an abundant number, since it is smaller than the sum of its proper divisors (45712057824).

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

16783879680 is a wasteful number, since it uses less digits than its factorization.

16783879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 16783879680 in words is "sixteen billion, seven hundred eighty-three million, eight hundred seventy-nine thousand, six hundred eighty".