4674045600 has 576 divisors, whose sum is σ = 20348697600. Its totient is φ = 1011502080.

The previous prime is 4674045559. The next prime is 4674045611. The reversal of 4674045600 is 65404764.

4674045600 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 0 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2871987 + ... + 2873613.

It is an arithmetic number, because the mean of its divisors is an integer number (35327600).

Almost surely, 2^4674045600 is an apocalyptic number.

4674045600 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 4674045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174348800).

4674045600 is an abundant number, since it is smaller than the sum of its proper divisors (15674652000).

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

4674045600 is a wasteful number, since it uses less digits than its factorization.

4674045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4674045600 is about 68366.9920356308. The cubic root of 4674045600 is about 1671.9796285759.

The spelling of 4674045600 in words is "four billion, six hundred seventy-four million, forty-five thousand, six hundred".