18406776960 has 960 divisors, whose sum is σ = 78056732160. Its totient is φ = 4097433600.

The previous prime is 18406776953. The next prime is 18406776961. The reversal of 18406776960 is 6967760481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18406776897 and 18406776906.

It is not an unprimeable number, because it can be changed into a prime (18406776961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96370465 + ... + 96370655.

It is an arithmetic number, because the mean of its divisors is an integer number (81309096).

Almost surely, 2^18406776960 is an apocalyptic number.

18406776960 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 18406776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39028366080).

18406776960 is an abundant number, since it is smaller than the sum of its proper divisors (59649955200).

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

18406776960 is a wasteful number, since it uses less digits than its factorization.

18406776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 18406776960 in words is "eighteen billion, four hundred six million, seven hundred seventy-six thousand, nine hundred sixty".