21704567040 has 432 divisors, whose sum is σ = 83079058608. Its totient is φ = 5196939264.

The previous prime is 21704567033. The next prime is 21704567041. The reversal of 21704567040 is 4076540712.

21704567040 is a `hidden beast` number, since 21 + 70 + 4 + 567 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 355850496 + 21348716544 = 18864^2 + 146112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21704566986 and 21704567004.

It is not an unprimeable number, because it can be changed into a prime (21704567041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5539162 + ... + 5543078.

Almost surely, 2^21704567040 is an apocalyptic number.

21704567040 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 21704567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41539529304).

21704567040 is an abundant number, since it is smaller than the sum of its proper divisors (61374491568).

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

21704567040 is a wasteful number, since it uses less digits than its factorization.

21704567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21704567040 in words is "twenty-one billion, seven hundred four million, five hundred sixty-seven thousand, forty".