4574479680 has 336 divisors, whose sum is σ = 16773076944. Its totient is φ = 1140326400.

The previous prime is 4574479669. The next prime is 4574479681. The reversal of 4574479680 is 869744754.

4574479680 is a `hidden beast` number, since 4 + 574 + 4 + 7 + 9 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 303595776 + 4270883904 = 17424^2 + 65352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4574479681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11407480 + ... + 11407880.

Almost surely, 2^4574479680 is an apocalyptic number.

4574479680 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 4574479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386538472).

4574479680 is an abundant number, since it is smaller than the sum of its proper divisors (12198597264).

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

4574479680 is a wasteful number, since it uses less digits than its factorization.

4574479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 4574479680 is about 67634.8998668587. The cubic root of 4574479680 is about 1660.0222186991.

The spelling of 4574479680 in words is "four billion, five hundred seventy-four million, four hundred seventy-nine thousand, six hundred eighty".