21473717760 has 640 divisors, whose sum is σ = 84757432320. Its totient is φ = 5109350400.

The previous prime is 21473717687. The next prime is 21473717761. The reversal of 21473717760 is 6771737412.

It is a happy number.

21473717760 is a `hidden beast` number, since 2 + 1 + 473 + 7 + 177 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×21473717760² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21473717761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46379289 + ... + 46379751.

It is an arithmetic number, because the mean of its divisors is an integer number (132433488).

Almost surely, 2^21473717760 is an apocalyptic number.

21473717760 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 21473717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42378716160).

21473717760 is an abundant number, since it is smaller than the sum of its proper divisors (63283714560).

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

21473717760 is a wasteful number, since it uses less digits than its factorization.

21473717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 21473717760 in words is "twenty-one billion, four hundred seventy-three million, seven hundred seventeen thousand, seven hundred sixty".