4958753800 has 768 divisors, whose sum is σ = 17278894080. Its totient is φ = 1271808000.

The previous prime is 4958753797. The next prime is 4958753803. The reversal of 4958753800 is 83578594.

It is an interprime number because it is at equal distance from previous prime (4958753797) and next prime (4958753803).

It is not an unprimeable number, because it can be changed into a prime (4958753803) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 105505377 + ... + 105505423.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^4958753800 is an apocalyptic number.

4958753800 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 4958753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639447040).

4958753800 is an abundant number, since it is smaller than the sum of its proper divisors (12320140280).

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

4958753800 is a wasteful number, since it uses less digits than its factorization.

4958753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The square root of 4958753800 is about 70418.4194653643. The cubic root of 4958753800 is about 1705.2609571249.

The spelling of 4958753800 in words is "four billion, nine hundred fifty-eight million, seven hundred fifty-three thousand, eight hundred".