4332415680 has 224 divisors, whose sum is σ = 15495422400. Its totient is φ = 1139318784.

The previous prime is 4332415673. The next prime is 4332415693. The reversal of 4332415680 is 865142334.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627286 + ... + 634154.

Almost surely, 2^4332415680 is an apocalyptic number.

4332415680 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 4332415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747711200).

4332415680 is an abundant number, since it is smaller than the sum of its proper divisors (11163006720).

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

4332415680 is a wasteful number, since it uses less digits than its factorization.

4332415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4332415680 is about 65821.0884139726. The cubic root of 4332415680 is about 1630.2093248681.

The spelling of 4332415680 in words is "four billion, three hundred thirty-two million, four hundred fifteen thousand, six hundred eighty".