4581696000 has 480 divisors, whose sum is σ = 17756399232. Its totient is φ = 1045094400.

The previous prime is 4581695957. The next prime is 4581696017. The reversal of 4581696000 is 6961854.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 4581696000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9407757 + ... + 9408243.

Almost surely, 2^4581696000 is an apocalyptic number.

4581696000 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 4581696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8878199616).

4581696000 is an abundant number, since it is smaller than the sum of its proper divisors (13174703232).

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

4581696000 is an equidigital number, since it uses as much as digits as its factorization.

4581696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 4581696000 is about 67688.2264503953. The cubic root of 4581696000 is about 1660.8946645823.

The spelling of 4581696000 in words is "four billion, five hundred eighty-one million, six hundred ninety-six thousand".