4578608640 has 160 divisors (see below), whose sum is σ = 15498695520. Its totient is φ = 1149108224.

The previous prime is 4578608611. The next prime is 4578608663. The reversal of 4578608640 is 468068754.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4578608640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113026 + ... + 148094.

It is an arithmetic number, because the mean of its divisors is an integer number (96866847).

Almost surely, 2^4578608640 is an apocalyptic number.

4578608640 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 4578608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749347760).

4578608640 is an abundant number, since it is smaller than the sum of its proper divisors (10920086880).

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

4578608640 is a wasteful number, since it uses less digits than its factorization.

4578608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35112 (or 35096 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 4578608640 is about 67665.4168685895. The cubic root of 4578608640 is about 1660.5215180472.

The spelling of 4578608640 in words is "four billion, five hundred seventy-eight million, six hundred eight thousand, six hundred forty".