4576536000 has 336 divisors, whose sum is σ = 17338669920. Its totient is φ = 1148313600.

The previous prime is 4576535987. The next prime is 4576536007. The reversal of 4576536000 is 6356754.

4576536000 is a `hidden beast` number, since 45 + 7 + 6 + 5 + 3 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4576536007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1222131 + ... + 1225869.

Almost surely, 2^4576536000 is an apocalyptic number.

4576536000 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 4576536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669334960).

4576536000 is an abundant number, since it is smaller than the sum of its proper divisors (12762133920).

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

4576536000 is a wasteful number, since it uses less digits than its factorization.

4576536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 4576536000 is about 67650.0997781969. The cubic root of 4576536000 is about 1660.2709191540.

The spelling of 4576536000 in words is "four billion, five hundred seventy-six million, five hundred thirty-six thousand".