18726480000 has 480 divisors, whose sum is σ = 69592723200. Its totient is φ = 4826880000.

The previous prime is 18726479951. The next prime is 18726480001. The reversal of 18726480000 is 8462781.

18726480000 is a `hidden beast` number, since 1 + 8 + 7 + 2 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18726480001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22319581 + ... + 22320419.

It is an arithmetic number, because the mean of its divisors is an integer number (144984840).

Almost surely, 2^18726480000 is an apocalyptic number.

18726480000 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 18726480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34796361600).

18726480000 is an abundant number, since it is smaller than the sum of its proper divisors (50866243200).

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

18726480000 is an equidigital number, since it uses as much as digits as its factorization.

18726480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 18726480000 in words is "eighteen billion, seven hundred twenty-six million, four hundred eighty thousand".