21768018480 has 480 divisors, whose sum is σ = 81451161792. Its totient is φ = 5175705600.

The previous prime is 21768018479. The next prime is 21768018499. The reversal of 21768018480 is 8481086712.

21768018480 is a `hidden beast` number, since 21 + 76 + 80 + 1 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50272344 + ... + 50272776.

Almost surely, 2^21768018480 is an apocalyptic number.

21768018480 is a gapful number since it is divisible by the number (20) 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 21768018480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40725580896).

21768018480 is an abundant number, since it is smaller than the sum of its proper divisors (59683143312).

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

21768018480 is a wasteful number, since it uses less digits than its factorization.

21768018480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 21768018480 in words is "twenty-one billion, seven hundred sixty-eight million, eighteen thousand, four hundred eighty".