4643875368000 has 1792 divisors, whose sum is σ = 19112335257600. Its totient is φ = 1094446080000.

The previous prime is 4643875367953. The next prime is 4643875368029. The reversal of 4643875368000 is 8635783464.

4643875368000 is a `hidden beast` number, since 464 + 3 + 8 + 75 + 36 + 80 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22008887895 + ... + 22008888105.

Almost surely, 2^{4643875368000} is an apocalyptic number.

4643875368000 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 4643875368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556167628800).

4643875368000 is an abundant number, since it is smaller than the sum of its proper divisors (14468459889600).

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

4643875368000 is a wasteful number, since it uses less digits than its factorization.

4643875368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 4643875368000 in words is "four trillion, six hundred forty-three billion, eight hundred seventy-five million, three hundred sixty-eight thousand".