4560624000 has 896 divisors, whose sum is σ = 18783161280. Its totient is φ = 1094860800.

The previous prime is 4560623999. The next prime is 4560624007. The reversal of 4560624000 is 4260654.

It is a happy number.

4560624000 is a `hidden beast` number, since 4 + 560 + 62 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4560624007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 198287989 + ... + 198288011.

Almost surely, 2^4560624000 is an apocalyptic number.

4560624000 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 4560624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391580640).

4560624000 is an abundant number, since it is smaller than the sum of its proper divisors (14222537280).

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

4560624000 is an equidigital number, since it uses as much as digits as its factorization.

4560624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

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

The square root of 4560624000 is about 67532.3922277302. The cubic root of 4560624000 is about 1658.3445052543.

Adding to 4560624000 its reverse (4260654), we get a palindrome (4564884654).

The spelling of 4560624000 in words is "four billion, five hundred sixty million, six hundred twenty-four thousand".