4905625600 has 72 divisors (see below), whose sum is σ = 12163108230. Its totient is φ = 1962229760.

The previous prime is 4905625591. The next prime is 4905625661. The reversal of 4905625600 is 65265094.

It can be written as a sum of positive squares in 3 ways, for example, as 2307073024 + 2598552576 = 48032^2 + 50976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4905625600.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3294 + ... + 99106.

Almost surely, 2^4905625600 is an apocalyptic number.

4905625600 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 4905625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081554115).

4905625600 is an abundant number, since it is smaller than the sum of its proper divisors (7257482630).

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

4905625600 is an equidigital number, since it uses as much as digits as its factorization.

4905625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95845 (or 95820 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 4905625600 is about 70040.1713304586. The cubic root of 4905625600 is about 1699.1490089122.

It can be divided in two parts, 4905625 and 600, that added together give a square (4906225 = 2215²).

The spelling of 4905625600 in words is "four billion, nine hundred five million, six hundred twenty-five thousand, six hundred".