4608124864 has 56 divisors (see below), whose sum is σ = 10496438240. Its totient is φ = 1966242816.

The previous prime is 4608124847. The next prime is 4608124867. The reversal of 4608124864 is 4684218064.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×4608124864³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4608124864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608124867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80134 + ... + 125050.

Almost surely, 2^4608124864 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 4608124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248219120).

4608124864 is an abundant number, since it is smaller than the sum of its proper divisors (5888313376).

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

4608124864 is a wasteful number, since it uses less digits than its factorization.

4608124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45165 (or 45155 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 4608124864 is about 67883.1706978983. The cubic root of 4608124864 is about 1664.0820888374.

The spelling of 4608124864 in words is "four billion, six hundred eight million, one hundred twenty-four thousand, eight hundred sixty-four".