4627813824 has 140 divisors (see below), whose sum is σ = 13753465000. Its totient is φ = 1538652672.

The previous prime is 4627813753. The next prime is 4627813829. The reversal of 4627813824 is 4283187264.

It is a happy number.

4627813824 is a `hidden beast` number, since 4 + 627 + 8 + 13 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4627813824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4627813829) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2585922 + ... + 2587710.

Almost surely, 2^4627813824 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 4627813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876732500).

4627813824 is an abundant number, since it is smaller than the sum of its proper divisors (9125651176).

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

4627813824 is a wasteful number, since it uses less digits than its factorization.

4627813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2293 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4627813824 is about 68028.0370435602. The cubic root of 4627813824 is about 1666.4487414975.

The spelling of 4627813824 in words is "four billion, six hundred twenty-seven million, eight hundred thirteen thousand, eight hundred twenty-four".