4581968640 has 288 divisors, whose sum is σ = 15377682432. Its totient is φ = 1161216000.

The previous prime is 4581968569. The next prime is 4581968641. The reversal of 4581968640 is 468691854.

It is not an unprimeable number, because it can be changed into a prime (4581968641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7261125 + ... + 7261755.

Almost surely, 2^4581968640 is an apocalyptic number.

4581968640 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 4581968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688841216).

4581968640 is an abundant number, since it is smaller than the sum of its proper divisors (10795713792).

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

4581968640 is a wasteful number, since it uses less digits than its factorization.

4581968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 4581968640 is about 67690.2403600401. The cubic root of 4581968640 is about 1660.9276085212.

The spelling of 4581968640 in words is "four billion, five hundred eighty-one million, nine hundred sixty-eight thousand, six hundred forty".