4768569792000 has 2560 divisors, whose sum is σ = 21172450590720. Its totient is φ = 1048080384000.

The previous prime is 4768569791977. The next prime is 4768569792011. The reversal of 4768569792000 is 2979658674.

4768569792000 is a `hidden beast` number, since 4 + 7 + 68 + 569 + 7 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×4768569792000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30373055922 + ... + 30373056078.

It is an arithmetic number, because the mean of its divisors is an integer number (8270488512).

Almost surely, 2^{4768569792000} is an apocalyptic number.

4768569792000 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 4768569792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10586225295360).

4768569792000 is an abundant number, since it is smaller than the sum of its proper divisors (16403880798720).

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

4768569792000 is an frugal number, since it uses more digits than its factorization.

4768569792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 4768569792000 in words is "four trillion, seven hundred sixty-eight billion, five hundred sixty-nine million, seven hundred ninety-two thousand".