18400264960 has 288 divisors, whose sum is σ = 57346071552. Its totient is φ = 5485117440.

The previous prime is 18400264933. The next prime is 18400264963. The reversal of 18400264960 is 6946200481.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18400264963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2262822 + ... + 2270938.

It is an arithmetic number, because the mean of its divisors is an integer number (199118304).

Almost surely, 2^18400264960 is an apocalyptic number.

18400264960 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 18400264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28673035776).

18400264960 is an abundant number, since it is smaller than the sum of its proper divisors (38945806592).

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

18400264960 is a wasteful number, since it uses less digits than its factorization.

18400264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 18400264960 in words is "eighteen billion, four hundred million, two hundred sixty-four thousand, nine hundred sixty".