4958677752 has 128 divisors (see below), whose sum is σ = 14787532800. Its totient is φ = 1355655168.

The previous prime is 4958677697. The next prime is 4958677753. The reversal of 4958677752 is 2577768594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958677753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546033 + ... + 555039.

It is an arithmetic number, because the mean of its divisors is an integer number (115527600).

Almost surely, 2^4958677752 is an apocalyptic number.

4958677752 is a gapful number since it is divisible by the number (42) 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 4958677752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393766400).

4958677752 is an abundant number, since it is smaller than the sum of its proper divisors (9828855048).

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

4958677752 is a wasteful number, since it uses less digits than its factorization.

4958677752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165 (or 9161 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 60.

The square root of 4958677752 is about 70417.8794909361. The cubic root of 4958677752 is about 1705.2522397231.

The spelling of 4958677752 in words is "four billion, nine hundred fifty-eight million, six hundred seventy-seven thousand, seven hundred fifty-two".