4563993600 has 660 divisors, whose sum is σ = 17690796288. Its totient is φ = 1161216000.

The previous prime is 4563993593. The next prime is 4563993607. The reversal of 4563993600 is 63993654.

It is a happy number.

4563993600 is a `hidden beast` number, since 4 + 5 + 6 + 39 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4563993593) and next prime (4563993607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563993607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64281565 + ... + 64281635.

Almost surely, 2^4563993600 is an apocalyptic number.

4563993600 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 4563993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845398144).

4563993600 is an abundant number, since it is smaller than the sum of its proper divisors (13126802688).

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

4563993600 is a wasteful number, since it uses less digits than its factorization.

4563993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 4563993600 is about 67557.3356490618. The cubic root of 4563993600 is about 1658.7528252558.

The spelling of 4563993600 in words is "four billion, five hundred sixty-three million, nine hundred ninety-three thousand, six hundred".