4666111632 has 480 divisors, whose sum is σ = 16880864000. Its totient is φ = 1202003712.

The previous prime is 4666111631. The next prime is 4666111651. The reversal of 4666111632 is 2361116664.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4666111631) 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, 108514203 + ... + 108514245.

Almost surely, 2^4666111632 is an apocalyptic number.

4666111632 is a gapful number since it is divisible by the number (42) 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 4666111632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440432000).

4666111632 is an abundant number, since it is smaller than the sum of its proper divisors (12214752368).

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

4666111632 is a wasteful number, since it uses less digits than its factorization.

4666111632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 68 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 4666111632 is about 68308.9425478099. The cubic root of 4666111632 is about 1671.0330577389.

The spelling of 4666111632 in words is "four billion, six hundred sixty-six million, one hundred eleven thousand, six hundred thirty-two".