4446715680 has 432 divisors, whose sum is σ = 17069113152. Its totient is φ = 1045401600.

The previous prime is 4446715657. The next prime is 4446715681. The reversal of 4446715680 is 865176444.

4446715680 is a `hidden beast` number, since 44 + 46 + 7 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4446715681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26626957 + ... + 26627123.

It is an arithmetic number, because the mean of its divisors is an integer number (39511836).

Almost surely, 2^4446715680 is an apocalyptic number.

4446715680 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 4446715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8534556576).

4446715680 is an abundant number, since it is smaller than the sum of its proper divisors (12622397472).

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

4446715680 is a wasteful number, since it uses less digits than its factorization.

4446715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4446715680 is about 66683.6987576424. The cubic root of 4446715680 is about 1644.4214026206.

The spelling of 4446715680 in words is "four billion, four hundred forty-six million, seven hundred fifteen thousand, six hundred eighty".