4575962976000 has 864 divisors, whose sum is σ = 17175127237632. Its totient is φ = 1077329510400.

The previous prime is 4575962975971. The next prime is 4575962976049. The reversal of 4575962976000 is 6792695754.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 373145869 + ... + 373158131.

It is an arithmetic number, because the mean of its divisors is an integer number (19878619488).

Almost surely, 2^{4575962976000} is an apocalyptic number.

4575962976000 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 4575962976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587563618816).

4575962976000 is an abundant number, since it is smaller than the sum of its proper divisors (12599164261632).

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

4575962976000 is a wasteful number, since it uses less digits than its factorization.

4575962976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 4575962976000 in words is "four trillion, five hundred seventy-five billion, nine hundred sixty-two million, nine hundred seventy-six thousand".