4452871680 has 240 divisors, whose sum is σ = 15532380864. Its totient is φ = 1178910720.

The previous prime is 4452871679. The next prime is 4452871699. The reversal of 4452871680 is 861782544.

4452871680 is a `hidden beast` number, since 44 + 528 + 7 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×4452871680³ (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 23 ways as a sum of consecutive naturals, for example, 3616665 + ... + 3617895.

Almost surely, 2^4452871680 is an apocalyptic number.

4452871680 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 4452871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7766190432).

4452871680 is an abundant number, since it is smaller than the sum of its proper divisors (11079509184).

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

4452871680 is a wasteful number, since it uses less digits than its factorization.

4452871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4452871680 is about 66729.8410008596. The cubic root of 4452871680 is about 1645.1798942838.

The spelling of 4452871680 in words is "four billion, four hundred fifty-two million, eight hundred seventy-one thousand, six hundred eighty".