4965543600 has 480 divisors, whose sum is σ = 18532385280. Its totient is φ = 1127301120.

The previous prime is 4965543571. The next prime is 4965543629. The reversal of 4965543600 is 63455694.

It is an interprime number because it is at equal distance from previous prime (4965543571) and next prime (4965543629).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8914522 + ... + 8915078.

It is an arithmetic number, because the mean of its divisors is an integer number (38609136).

Almost surely, 2^4965543600 is an apocalyptic number.

4965543600 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 4965543600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266192640).

4965543600 is an abundant number, since it is smaller than the sum of its proper divisors (13566841680).

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

4965543600 is a wasteful number, since it uses less digits than its factorization.

4965543600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 4965543600 is about 70466.6133711561. The cubic root of 4965543600 is about 1706.0389147021.

The spelling of 4965543600 in words is "four billion, nine hundred sixty-five million, five hundred forty-three thousand, six hundred".