21464847360 has 1056 divisors, whose sum is σ = 89392522752. Its totient is φ = 4702863360.

The previous prime is 21464847319. The next prime is 21464847367. The reversal of 21464847360 is 6374846412.

21464847360 is a `hidden beast` number, since 2 + 1 + 46 + 484 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (21464847367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404997094 + ... + 404997146.

Almost surely, 2^21464847360 is an apocalyptic number.

21464847360 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 21464847360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44696261376).

21464847360 is an abundant number, since it is smaller than the sum of its proper divisors (67927675392).

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

21464847360 is a wasteful number, since it uses less digits than its factorization.

21464847360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 21464847360 in words is "twenty-one billion, four hundred sixty-four million, eight hundred forty-seven thousand, three hundred sixty".