4666416960 has 112 divisors (see below), whose sum is σ = 15019056576. Its totient is φ = 1227313152.

The previous prime is 4666416947. The next prime is 4666416971. The reversal of 4666416960 is 696146664.

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

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, 36787 + ... + 103373.

Almost surely, 2^4666416960 is an apocalyptic number.

4666416960 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 4666416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509528288).

4666416960 is an abundant number, since it is smaller than the sum of its proper divisors (10352639616).

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

4666416960 is a wasteful number, since it uses less digits than its factorization.

4666416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66680 (or 66670 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 4666416960 is about 68311.1774162911. The cubic root of 4666416960 is about 1671.0695050776.

The spelling of 4666416960 in words is "four billion, six hundred sixty-six million, four hundred sixteen thousand, nine hundred sixty".