16936879680 has 1120 divisors, whose sum is σ = 77007110400. Its totient is φ = 3451797504.

The previous prime is 16936879643. The next prime is 16936879693. The reversal of 16936879680 is 8697863961.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 891414711 + ... + 891414729.

Almost surely, 2^16936879680 is an apocalyptic number.

16936879680 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 16936879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38503555200).

16936879680 is an abundant number, since it is smaller than the sum of its proper divisors (60070230720).

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

16936879680 is an equidigital number, since it uses as much as digits as its factorization.

16936879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 16936879680 in words is "sixteen billion, nine hundred thirty-six million, eight hundred seventy-nine thousand, six hundred eighty".