4681754919936 has 880 divisors, whose sum is σ = 14852659937280. Its totient is φ = 1472956047360.

The previous prime is 4681754919887. The next prime is 4681754919937. The reversal of 4681754919936 is 6399194571864.

It is a happy number.

4681754919936 is a `hidden beast` number, since 4 + 6 + 8 + 17 + 5 + 491 + 99 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (4681754919937) 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 79 ways as a sum of consecutive naturals, for example, 36864211905 + ... + 36864212031.

It is an arithmetic number, because the mean of its divisors is an integer number (16878022656).

Almost surely, 2^{4681754919936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681754919936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426329968640).

4681754919936 is an abundant number, since it is smaller than the sum of its proper divisors (10170905017344).

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

4681754919936 is an frugal number, since it uses more digits than its factorization.

4681754919936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 222 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 4681754919936 in words is "four trillion, six hundred eighty-one billion, seven hundred fifty-four million, nine hundred nineteen thousand, nine hundred thirty-six".