4577821506 has 144 divisors (see below), whose sum is σ = 11474119800. Its totient is φ = 1312754688.

The previous prime is 4577821481. The next prime is 4577821511. The reversal of 4577821506 is 6051287754.

4577821506 is a `hidden beast` number, since 4 + 57 + 78 + 21 + 506 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3547989225 + 1029832281 = 59565^2 + 32091^2 .

It is a super-2 number, since 2×4577821506² = 41912899481592216072, 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 71 ways as a sum of consecutive naturals, for example, 3202800 + ... + 3204228.

Almost surely, 2^4577821506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4577821506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737059900).

4577821506 is an abundant number, since it is smaller than the sum of its proper divisors (6896298294).

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

4577821506 is a wasteful number, since it uses less digits than its factorization.

4577821506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4577821506 is about 67659.6002500754. The cubic root of 4577821506 is about 1660.4263561064.

The spelling of 4577821506 in words is "four billion, five hundred seventy-seven million, eight hundred twenty-one thousand, five hundred six".