4475857680 has 480 divisors, whose sum is σ = 17994562560. Its totient is φ = 975421440.

The previous prime is 4475857657. The next prime is 4475857691. The reversal of 4475857680 is 867585744.

4475857680 is a `hidden beast` number, since 447 + 58 + 5 + 76 + 80 = 666.

It is a super-2 number, since 2×4475857680² = 40066603943229964800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16515945 + ... + 16516215.

It is an arithmetic number, because the mean of its divisors is an integer number (37488672).

Almost surely, 2^4475857680 is an apocalyptic number.

4475857680 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 4475857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997281280).

4475857680 is an abundant number, since it is smaller than the sum of its proper divisors (13518704880).

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

4475857680 is a wasteful number, since it uses less digits than its factorization.

4475857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 4475857680 is about 66901.8510954667. The cubic root of 4475857680 is about 1648.0058774573.

The spelling of 4475857680 in words is "four billion, four hundred seventy-five million, eight hundred fifty-seven thousand, six hundred eighty".