4465563840 has 336 divisors, whose sum is σ = 16052474880. Its totient is φ = 1137991680.

The previous prime is 4465563793. The next prime is 4465563881. The reversal of 4465563840 is 483655644.

4465563840 is a `hidden beast` number, since 4 + 4 + 6 + 5 + 5 + 638 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606830 + ... + 10607250.

Almost surely, 2^4465563840 is an apocalyptic number.

4465563840 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 4465563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026237440).

4465563840 is an abundant number, since it is smaller than the sum of its proper divisors (11586911040).

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

4465563840 is a wasteful number, since it uses less digits than its factorization.

4465563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 4465563840 is about 66824.8744106564. The cubic root of 4465563840 is about 1646.7415141517.

The spelling of 4465563840 in words is "four billion, four hundred sixty-five million, five hundred sixty-three thousand, eight hundred forty".