4456690560 has 192 divisors, whose sum is σ = 17588170080. Its totient is φ = 1018662912.

The previous prime is 4456690517. The next prime is 4456690619. The reversal of 4456690560 is 650966544.

4456690560 is a `hidden beast` number, since 445 + 66 + 90 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4456690560² = 39724181495186227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14947 + ... + 95586.

Almost surely, 2^4456690560 is an apocalyptic number.

4456690560 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 4456690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8794085040).

4456690560 is an abundant number, since it is smaller than the sum of its proper divisors (13131479520).

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

4456690560 is a wasteful number, since it uses less digits than its factorization.

4456690560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110565 (or 110550 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 4456690560 is about 66758.4493528722. The cubic root of 4456690560 is about 1645.6500739662.

The spelling of 4456690560 in words is "four billion, four hundred fifty-six million, six hundred ninety thousand, five hundred sixty".