4663559040 has 256 divisors, whose sum is σ = 17311864320. Its totient is φ = 1045684224.

The previous prime is 4663559039. The next prime is 4663559041. The reversal of 4663559040 is 409553664.

It is an interprime number because it is at equal distance from previous prime (4663559039) and next prime (4663559041).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4663558983 and 4663559001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663559041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 709047 + ... + 715593.

It is an arithmetic number, because the mean of its divisors is an integer number (67624470).

Almost surely, 2^4663559040 is an apocalyptic number.

4663559040 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 4663559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8655932160).

4663559040 is an abundant number, since it is smaller than the sum of its proper divisors (12648305280).

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

4663559040 is a wasteful number, since it uses less digits than its factorization.

4663559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6629 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 4663559040 is about 68290.2558202852. The cubic root of 4663559040 is about 1670.7282898012.

The spelling of 4663559040 in words is "four billion, six hundred sixty-three million, five hundred fifty-nine thousand, forty".