4331662560 has 576 divisors, whose sum is σ = 16841260800. Its totient is φ = 1007271936.

The previous prime is 4331662549. The next prime is 4331662583. The reversal of 4331662560 is 652661334.

4331662560 is a `hidden beast` number, since 4 + 3 + 31 + 6 + 62 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31162971 + ... + 31163109.

It is an arithmetic number, because the mean of its divisors is an integer number (29238300).

Almost surely, 2^4331662560 is an apocalyptic number.

4331662560 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 4331662560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8420630400).

4331662560 is an abundant number, since it is smaller than the sum of its proper divisors (12509598240).

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

4331662560 is a wasteful number, since it uses less digits than its factorization.

4331662560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 4331662560 is about 65815.3672025007. The cubic root of 4331662560 is about 1630.1148576020.

The spelling of 4331662560 in words is "four billion, three hundred thirty-one million, six hundred sixty-two thousand, five hundred sixty".