21768460747476 has 192 divisors, whose sum is σ = 56194029158400. Its totient is φ = 6531351330816.

The previous prime is 21768460747469. The next prime is 21768460747511. The reversal of 21768460747476 is 67474706486712.

21768460747476 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 21768460747476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73324705 + ... + 73620983.

It is an arithmetic number, because the mean of its divisors is an integer number (292677235200).

Almost surely, 2^{21768460747476} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21768460747476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28097014579200).

21768460747476 is an abundant number, since it is smaller than the sum of its proper divisors (34425568410924).

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

21768460747476 is a wasteful number, since it uses less digits than its factorization.

21768460747476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296526 (or 296524 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 69.

The spelling of 21768460747476 in words is "twenty-one trillion, seven hundred sixty-eight billion, four hundred sixty million, seven hundred forty-seven thousand, four hundred seventy-six".