4688073936 has 400 divisors, whose sum is σ = 16885141504. Its totient is φ = 1222760448.

The previous prime is 4688073917. The next prime is 4688073961. The reversal of 4688073936 is 6393708864.

4688073936 is a `hidden beast` number, since 468 + 80 + 73 + 9 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14977716 + ... + 14978028.

Almost surely, 2^4688073936 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 4688073936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8442570752).

4688073936 is an abundant number, since it is smaller than the sum of its proper divisors (12197067568).

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

4688073936 is a wasteful number, since it uses less digits than its factorization.

4688073936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 4688073936 is about 68469.5109957710. The cubic root of 4688073936 is about 1673.6506767147.

The spelling of 4688073936 in words is "four billion, six hundred eighty-eight million, seventy-three thousand, nine hundred thirty-six".