5005632924 has 96 divisors (see below), whose sum is σ = 13505184000. Its totient is φ = 1602030528.

The previous prime is 5005632923. The next prime is 5005632941. The reversal of 5005632924 is 4292365005.

5005632924 is a `hidden beast` number, since 5 + 0 + 0 + 563 + 2 + 92 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005632923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264862 + ... + 283130.

It is an arithmetic number, because the mean of its divisors is an integer number (140679000).

Almost surely, 2^5005632924 is an apocalyptic number.

5005632924 is a gapful number since it is divisible by the number (54) 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 5005632924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752592000).

5005632924 is an abundant number, since it is smaller than the sum of its proper divisors (8499551076).

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

5005632924 is a wasteful number, since it uses less digits than its factorization.

5005632924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18384 (or 18376 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5005632924 is about 70750.4976943625. The cubic root of 5005632924 is about 1710.6178499875.

Adding to 5005632924 its reverse (4292365005), we get a palindrome (9297997929).

The spelling of 5005632924 in words is "five billion, five million, six hundred thirty-two thousand, nine hundred twenty-four".