4645528800 has 432 divisors, whose sum is σ = 17617216176. Its totient is φ = 1058816000.

The previous prime is 4645528787. The next prime is 4645528807. The reversal of 4645528800 is 88255464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645528807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4936330 + ... + 4937270.

It is an arithmetic number, because the mean of its divisors is an integer number (40780593).

Almost surely, 2^4645528800 is an apocalyptic number.

4645528800 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 4645528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808608088).

4645528800 is an abundant number, since it is smaller than the sum of its proper divisors (12971687376).

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

4645528800 is a wasteful number, since it uses less digits than its factorization.

4645528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 4645528800 is about 68158.1161711502. The cubic root of 4645528800 is about 1668.5723872181.

The spelling of 4645528800 in words is "four billion, six hundred forty-five million, five hundred twenty-eight thousand, eight hundred".