4475579680 has 288 divisors, whose sum is σ = 12829840128. Its totient is φ = 1461657600.

The previous prime is 4475579677. The next prime is 4475579737. The reversal of 4475579680 is 869755744.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12194857 + ... + 12195223.

It is an arithmetic number, because the mean of its divisors is an integer number (44548056).

Almost surely, 2^4475579680 is an apocalyptic number.

4475579680 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 4475579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414920064).

4475579680 is an abundant number, since it is smaller than the sum of its proper divisors (8354260448).

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

4475579680 is a wasteful number, since it uses less digits than its factorization.

4475579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The square root of 4475579680 is about 66899.7733927403. The cubic root of 4475579680 is about 1647.9717569861.

The spelling of 4475579680 in words is "four billion, four hundred seventy-five million, five hundred seventy-nine thousand, six hundred eighty".