4689019133568 has 2304 divisors, whose sum is σ = 18556457287680. Its totient is φ = 1121734656000.

The previous prime is 4689019133567. The next prime is 4689019133573. The reversal of 4689019133568 is 8653319109864.

4689019133568 is a `hidden beast` number, since 4 + 6 + 8 + 90 + 191 + 3 + 356 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4689019133567) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64233138780 + ... + 64233138852.

It is an arithmetic number, because the mean of its divisors is an integer number (8054017920).

Almost surely, 2^{4689019133568} is an apocalyptic number.

4689019133568 is a gapful number since it is divisible by the number (48) 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 4689019133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278228643840).

4689019133568 is an abundant number, since it is smaller than the sum of its proper divisors (13867438154112).

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

4689019133568 is a wasteful number, since it uses less digits than its factorization.

4689019133568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 4689019133568 in words is "four trillion, six hundred eighty-nine billion, nineteen million, one hundred thirty-three thousand, five hundred sixty-eight".