4968561600 has 168 divisors, whose sum is σ = 18112404720. Its totient is φ = 1324938240.

The previous prime is 4968561583. The next prime is 4968561607. The reversal of 4968561600 is 61658694.

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 (4968561607) 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 23 ways as a sum of consecutive naturals, for example, 14307 + ... + 100706.

Almost surely, 2^4968561600 is an apocalyptic number.

4968561600 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 4968561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9056202360).

4968561600 is an abundant number, since it is smaller than the sum of its proper divisors (13143843120).

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

4968561600 is a wasteful number, since it uses less digits than its factorization.

4968561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115044 (or 115023 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4968561600 is about 70488.0245148068. The cubic root of 4968561600 is about 1706.3844816114.

The spelling of 4968561600 in words is "four billion, nine hundred sixty-eight million, five hundred sixty-one thousand, six hundred".