4575666420 has 288 divisors, whose sum is σ = 15737772960. Its totient is φ = 1068318720.

The previous prime is 4575666397. The next prime is 4575666427. The reversal of 4575666420 is 246665754.

It can be written as a sum of positive squares in 16 ways, for example, as 1231588836 + 3344077584 = 35094^2 + 57828^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575666427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3549136 + ... + 3550424.

It is an arithmetic number, because the mean of its divisors is an integer number (54645045).

Almost surely, 2^4575666420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4575666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868886480).

4575666420 is an abundant number, since it is smaller than the sum of its proper divisors (11162106540).

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

4575666420 is a wasteful number, since it uses less digits than its factorization.

4575666420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4575666420 is about 67643.6724313516. The cubic root of 4575666420 is about 1660.1657573871.

The spelling of 4575666420 in words is "four billion, five hundred seventy-five million, six hundred sixty-six thousand, four hundred twenty".