21733770240 has 1056 divisors, whose sum is σ = 95278450176. Its totient is φ = 4459069440.

The previous prime is 21733770209. The next prime is 21733770257. The reversal of 21733770240 is 4207733712.

It is a happy number.

21733770240 is a `hidden beast` number, since 2 + 17 + 337 + 70 + 240 = 666.

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 = 21733770195 and 21733770204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 297722844 + ... + 297722916.

Almost surely, 2^21733770240 is an apocalyptic number.

21733770240 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 21733770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47639225088).

21733770240 is an abundant number, since it is smaller than the sum of its proper divisors (73544679936).

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

21733770240 is a wasteful number, since it uses less digits than its factorization.

21733770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 21733770240 in words is "twenty-one billion, seven hundred thirty-three million, seven hundred seventy thousand, two hundred forty".