21724769819763 has 24 divisors (see below), whose sum is σ = 31589027758080. Its totient is φ = 14386814492400.

The previous prime is 21724769819743. The next prime is 21724769819771. The reversal of 21724769819763 is 36791896742712.

21724769819763 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 476 + 9 + 8 + 1 + 97 + 63 = 666.

It is not a de Polignac number, because 21724769819763 - 2¹³ = 21724769811571 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21724769819691 and 21724769819700.

It is not an unprimeable number, because it can be changed into a prime (21724769819723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46384768 + ... + 46850786.

It is an arithmetic number, because the mean of its divisors is an integer number (1316209489920).

Almost surely, 2^{21724769819763} is an apocalyptic number.

21724769819763 is a deficient number, since it is larger than the sum of its proper divisors (9864257938317).

21724769819763 is a wasteful number, since it uses less digits than its factorization.

21724769819763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500479 (or 500476 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 21724769819763 in words is "twenty-one trillion, seven hundred twenty-four billion, seven hundred sixty-nine million, eight hundred nineteen thousand, seven hundred sixty-three".