4575896064000 has 624 divisors, whose sum is σ = 17107030624320. Its totient is φ = 1220205772800.

The previous prime is 4575896063987. The next prime is 4575896064001. The reversal of 4575896064000 is 4606985754.

4575896064000 is a `hidden beast` number, since 4 + 57 + 589 + 6 + 0 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4575896064001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124397611 + ... + 124434389.

It is an arithmetic number, because the mean of its divisors is an integer number (27415113180).

Almost surely, 2^{4575896064000} is an apocalyptic number.

4575896064000 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 4575896064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553515312160).

4575896064000 is an abundant number, since it is smaller than the sum of its proper divisors (12531134560320).

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

4575896064000 is an frugal number, since it uses more digits than its factorization.

4575896064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36833 (or 36789 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4575896064000 in words is "four trillion, five hundred seventy-five billion, eight hundred ninety-six million, sixty-four thousand".