4575753952000 has 1152 divisors, whose sum is σ = 14934222471168. Its totient is φ = 1354586112000.

The previous prime is 4575753951943. The next prime is 4575753952001. The reversal of 4575753952000 is 2593575754.

It is not an unprimeable number, because it can be changed into a prime (4575753952001) 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 127 ways as a sum of consecutive naturals, for example, 14904735847 + ... + 14904736153.

It is an arithmetic number, because the mean of its divisors is an integer number (12963734784).

Almost surely, 2^{4575753952000} is an apocalyptic number.

4575753952000 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 4575753952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467111235584).

4575753952000 is an abundant number, since it is smaller than the sum of its proper divisors (10358468519168).

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

4575753952000 is a wasteful number, since it uses less digits than its factorization.

4575753952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 52.

The spelling of 4575753952000 in words is "four trillion, five hundred seventy-five billion, seven hundred fifty-three million, nine hundred fifty-two thousand".