18268740672 has 336 divisors, whose sum is σ = 60696994176. Its totient is φ = 4722278400.

The previous prime is 18268740649. The next prime is 18268740691. The reversal of 18268740672 is 27604786281.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×18268740672³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 65013172 + ... + 65013452.

It is an arithmetic number, because the mean of its divisors is an integer number (180645816).

Almost surely, 2^18268740672 is an apocalyptic number.

18268740672 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 18268740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30348497088).

18268740672 is an abundant number, since it is smaller than the sum of its proper divisors (42428253504).

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

18268740672 is a wasteful number, since it uses less digits than its factorization.

18268740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 18268740672 in words is "eighteen billion, two hundred sixty-eight million, seven hundred forty thousand, six hundred seventy-two".