21624384480 has 96 divisors (see below), whose sum is σ = 68349736224. Its totient is φ = 5746784256.

The previous prime is 21624384437. The next prime is 21624384491. The reversal of 21624384480 is 8448342612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21624384480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63762 + ... + 217518.

It is an arithmetic number, because the mean of its divisors is an integer number (711976419).

Almost surely, 2^21624384480 is an apocalyptic number.

21624384480 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 21624384480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34174868112).

21624384480 is an abundant number, since it is smaller than the sum of its proper divisors (46725351744).

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

21624384480 is a wasteful number, since it uses less digits than its factorization.

21624384480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154068 (or 154060 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 21624384480 in words is "twenty-one billion, six hundred twenty-four million, three hundred eighty-four thousand, four hundred eighty".