4968129600 has 504 divisors, whose sum is σ = 21076493280. Its totient is φ = 1135088640.

The previous prime is 4968129587. The next prime is 4968129611. The reversal of 4968129600 is 69218694.

It is a happy number.

4968129600 is a `hidden beast` number, since 496 + 81 + 29 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2115627 + ... + 2117973.

Almost surely, 2^4968129600 is an apocalyptic number.

4968129600 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 4968129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538246640).

4968129600 is an abundant number, since it is smaller than the sum of its proper divisors (16108363680).

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

4968129600 is a wasteful number, since it uses less digits than its factorization.

4968129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4968129600 is about 70484.9600978819. The cubic root of 4968129600 is about 1706.3350253488.

The spelling of 4968129600 in words is "four billion, nine hundred sixty-eight million, one hundred twenty-nine thousand, six hundred".