4221564480 has 560 divisors, whose sum is σ = 17525756160. Its totient is φ = 944566272.

The previous prime is 4221564439. The next prime is 4221564499. The reversal of 4221564480 is 844651224.

4221564480 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 5 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9616101 + ... + 9616539.

Almost surely, 2^4221564480 is an apocalyptic number.

4221564480 is a gapful number since it is divisible by the number (40) 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 4221564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762878080).

4221564480 is an abundant number, since it is smaller than the sum of its proper divisors (13304191680).

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

4221564480 is a wasteful number, since it uses less digits than its factorization.

4221564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4221564480 is about 64973.5675486578. The cubic root of 4221564480 is about 1616.1852628826.

The spelling of 4221564480 in words is "four billion, two hundred twenty-one million, five hundred sixty-four thousand, four hundred eighty".