21304364760 has 192 divisors, whose sum is σ = 79187734080. Its totient is φ = 4866048000.

The previous prime is 21304364747. The next prime is 21304364761. The reversal of 21304364760 is 6746340312.

It is a happy number.

21304364760 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 4 + 3 + 647 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21304364761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5322760 + ... + 5326760.

It is an arithmetic number, because the mean of its divisors is an integer number (412436115).

Almost surely, 2^21304364760 is an apocalyptic number.

21304364760 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 21304364760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39593867040).

21304364760 is an abundant number, since it is smaller than the sum of its proper divisors (57883369320).

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

21304364760 is a wasteful number, since it uses less digits than its factorization.

21304364760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 21304364760 in words is "twenty-one billion, three hundred four million, three hundred sixty-four thousand, seven hundred sixty".