4032666000 has 800 divisors, whose sum is σ = 16627792896. Its totient is φ = 933120000.

The previous prime is 4032665983. The next prime is 4032666037. The reversal of 4032666000 is 6662304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 55241964 + ... + 55242036.

Almost surely, 2^4032666000 is an apocalyptic number.

4032666000 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 4032666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313896448).

4032666000 is an abundant number, since it is smaller than the sum of its proper divisors (12595126896).

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

4032666000 is a wasteful number, since it uses less digits than its factorization.

4032666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4032666000 is about 63503.2755060713. The cubic root of 4032666000 is about 1591.7105123319.

The spelling of 4032666000 in words is "four billion, thirty-two million, six hundred sixty-six thousand".