4664505600 has 324 divisors, whose sum is σ = 17041367616. Its totient is φ = 1216696320.

The previous prime is 4664505499. The next prime is 4664505607. The reversal of 4664505600 is 65054664.

It is a happy number.

4664505600 is a `hidden beast` number, since 4 + 6 + 6 + 45 + 0 + 5 + 600 = 666.

It is a super-2 number, since 2×4664505600² = 43515224984862720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664505607) 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 35 ways as a sum of consecutive naturals, for example, 2706339 + ... + 2708061.

Almost surely, 2^4664505600 is an apocalyptic number.

4664505600 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 4664505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520683808).

4664505600 is an abundant number, since it is smaller than the sum of its proper divisors (12376862016).

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

4664505600 is a wasteful number, since it uses less digits than its factorization.

4664505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4664505600 is about 68297.1858863892. The cubic root of 4664505600 is about 1670.8413177535.

The spelling of 4664505600 in words is "four billion, six hundred sixty-four million, five hundred five thousand, six hundred".