4471608960 has 768 divisors, whose sum is σ = 20049120000. Its totient is φ = 891813888.

The previous prime is 4471608959. The next prime is 4471608983. The reversal of 4471608960 is 698061744.

It is a super-3 number, since 3×4471608960³ (a number of 30 digits) contains 333 as substring.

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

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, 9958816 + ... + 9959264.

It is an arithmetic number, because the mean of its divisors is an integer number (26105625).

Almost surely, 2^4471608960 is an apocalyptic number.

4471608960 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 4471608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560000).

4471608960 is an abundant number, since it is smaller than the sum of its proper divisors (15577511040).

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

4471608960 is a wasteful number, since it uses less digits than its factorization.

4471608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4471608960 is about 66870.0901749056. The cubic root of 4471608960 is about 1647.4842543606.

The spelling of 4471608960 in words is "four billion, four hundred seventy-one million, six hundred eight thousand, nine hundred sixty".