18007879680 has 624 divisors, whose sum is σ = 75625078464. Its totient is φ = 3869245440.

The previous prime is 18007879667. The next prime is 18007879691. The reversal of 18007879680 is 8697870081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933670 + ... + 21934490.

It is an arithmetic number, because the mean of its divisors is an integer number (121194036).

Almost surely, 2^18007879680 is an apocalyptic number.

18007879680 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 18007879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37812539232).

18007879680 is an abundant number, since it is smaller than the sum of its proper divisors (57617198784).

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

18007879680 is a wasteful number, since it uses less digits than its factorization.

18007879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 18007879680 in words is "eighteen billion, seven million, eight hundred seventy-nine thousand, six hundred eighty".