4666083840 has 960 divisors, whose sum is σ = 20205313920. Its totient is φ = 1008599040.

The previous prime is 4666083809. The next prime is 4666083841. The reversal of 4666083840 is 483806664.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666083841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245583351 + ... + 245583369.

It is an arithmetic number, because the mean of its divisors is an integer number (21047202).

Almost surely, 2^4666083840 is an apocalyptic number.

4666083840 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 4666083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10102656960).

4666083840 is an abundant number, since it is smaller than the sum of its proper divisors (15539230080).

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

4666083840 is a wasteful number, since it uses less digits than its factorization.

4666083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4666083840 is about 68308.7391187980. The cubic root of 4666083840 is about 1671.0297400984.

The spelling of 4666083840 in words is "four billion, six hundred sixty-six million, eighty-three thousand, eight hundred forty".