4660093620 has 576 divisors, whose sum is σ = 18554006016. Its totient is φ = 955514880.

The previous prime is 4660093589. The next prime is 4660093637. The reversal of 4660093620 is 263900664.

4660093620 is a `hidden beast` number, since 46 + 600 + 9 + 3 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18132532 + ... + 18132788.

It is an arithmetic number, because the mean of its divisors is an integer number (32211816).

Almost surely, 2^4660093620 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 4660093620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277003008).

4660093620 is an abundant number, since it is smaller than the sum of its proper divisors (13893912396).

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

4660093620 is a wasteful number, since it uses less digits than its factorization.

4660093620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4660093620 is about 68264.8783782700. The cubic root of 4660093620 is about 1670.3143563031.

The spelling of 4660093620 in words is "four billion, six hundred sixty million, ninety-three thousand, six hundred twenty".