4668935040 has 1024 divisors, whose sum is σ = 21503232000. Its totient is φ = 936714240.

The previous prime is 4668935023. The next prime is 4668935081. The reversal of 4668935040 is 405398664.

4668935040 is a `hidden beast` number, since 4 + 66 + 89 + 3 + 504 + 0 = 666.

It is a super-3 number, since 3×4668935040³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160997746 + ... + 160997774.

It is an arithmetic number, because the mean of its divisors is an integer number (20999250).

Almost surely, 2^4668935040 is an apocalyptic number.

4668935040 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 4668935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751616000).

4668935040 is an abundant number, since it is smaller than the sum of its proper divisors (16834296960).

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

4668935040 is a wasteful number, since it uses less digits than its factorization.

4668935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4668935040 is about 68329.6058820772. The cubic root of 4668935040 is about 1671.3700304471.

The spelling of 4668935040 in words is "four billion, six hundred sixty-eight million, nine hundred thirty-five thousand, forty".