4681761624 has 96 divisors (see below), whose sum is σ = 13136104800. Its totient is φ = 1504581120.

The previous prime is 4681761599. The next prime is 4681761629. The reversal of 4681761624 is 4261671864.

4681761624 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 7 + 616 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4681761624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681761629) 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 23 ways as a sum of consecutive naturals, for example, 2051364 + ... + 2053644.

It is an arithmetic number, because the mean of its divisors is an integer number (136834425).

Almost surely, 2^4681761624 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 4681761624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568052400).

4681761624 is an abundant number, since it is smaller than the sum of its proper divisors (8454343176).

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

4681761624 is a wasteful number, since it uses less digits than its factorization.

4681761624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3298 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4681761624 is about 68423.3996816878. The cubic root of 4681761624 is about 1672.8991704773.

The spelling of 4681761624 in words is "four billion, six hundred eighty-one million, seven hundred sixty-one thousand, six hundred twenty-four".