4678581600 has 1152 divisors, whose sum is σ = 22048588800. Its totient is φ = 928972800.

The previous prime is 4678581497. The next prime is 4678581613. The reversal of 4678581600 is 61858764.

It is a happy number.

4678581600 is a `hidden beast` number, since 4 + 6 + 7 + 8 + 581 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48232752 + ... + 48232848.

It is an arithmetic number, because the mean of its divisors is an integer number (19139400).

Almost surely, 2^4678581600 is an apocalyptic number.

4678581600 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 4678581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024294400).

4678581600 is an abundant number, since it is smaller than the sum of its proper divisors (17370007200).

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

4678581600 is a wasteful number, since it uses less digits than its factorization.

4678581600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4678581600 is about 68400.1578945546. The cubic root of 4678581600 is about 1672.5203198883.

The spelling of 4678581600 in words is "four billion, six hundred seventy-eight million, five hundred eighty-one thousand, six hundred".