4665024000 has 960 divisors, whose sum is σ = 20912411520. Its totient is φ = 973209600.

The previous prime is 4665023989. The next prime is 4665024017. The reversal of 4665024000 is 4205664.

It is a happy number.

4665024000 is a `hidden beast` number, since 4 + 6 + 650 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52415956 + ... + 52416044.

It is an arithmetic number, because the mean of its divisors is an integer number (21783762).

Almost surely, 2^4665024000 is an apocalyptic number.

4665024000 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 4665024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456205760).

4665024000 is an abundant number, since it is smaller than the sum of its proper divisors (16247387520).

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

4665024000 is a wasteful number, since it uses less digits than its factorization.

4665024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4665024000 is about 68300.9809592805. The cubic root of 4665024000 is about 1670.9032129916.

Adding to 4665024000 its reverse (4205664), we get a palindrome (4669229664).

The spelling of 4665024000 in words is "four billion, six hundred sixty-five million, twenty-four thousand".