4658742088 has 256 divisors, whose sum is σ = 12557260800. Its totient is φ = 1560176640.

The previous prime is 4658742073. The next prime is 4658742097. The reversal of 4658742088 is 8802478564.

It is a happy number.

It is a super-3 number, since 3×4658742088³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10193956 + ... + 10194412.

It is an arithmetic number, because the mean of its divisors is an integer number (49051800).

Almost surely, 2^4658742088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4658742088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278630400).

4658742088 is an abundant number, since it is smaller than the sum of its proper divisors (7898518712).

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

4658742088 is a wasteful number, since it uses less digits than its factorization.

4658742088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 52.

The square root of 4658742088 is about 68254.9784850893. The cubic root of 4658742088 is about 1670.1528644418.

The spelling of 4658742088 in words is "four billion, six hundred fifty-eight million, seven hundred forty-two thousand, eighty-eight".