4638158496 has 288 divisors, whose sum is σ = 14371209216. Its totient is φ = 1469664000.

The previous prime is 4638158479. The next prime is 4638158507. The reversal of 4638158496 is 6948518364.

4638158496 is a `hidden beast` number, since 463 + 8 + 15 + 84 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17114841 + ... + 17115111.

It is an arithmetic number, because the mean of its divisors is an integer number (49900032).

Almost surely, 2^4638158496 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 4638158496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185604608).

4638158496 is an abundant number, since it is smaller than the sum of its proper divisors (9733050720).

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

4638158496 is a wasteful number, since it uses less digits than its factorization.

4638158496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4638158496 is about 68104.0270174973. The cubic root of 4638158496 is about 1667.6895027865.

The spelling of 4638158496 in words is "four billion, six hundred thirty-eight million, one hundred fifty-eight thousand, four hundred ninety-six".