4632997824 has 840 divisors, whose sum is σ = 18247144608. Its totient is φ = 1149603840.

The previous prime is 4632997823. The next prime is 4632997841. The reversal of 4632997824 is 4287992364.

4632997824 is a `hidden beast` number, since 463 + 2 + 99 + 78 + 24 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632997823) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75950754 + ... + 75950814.

Almost surely, 2^4632997824 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 4632997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123572304).

4632997824 is an abundant number, since it is smaller than the sum of its proper divisors (13614146784).

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

4632997824 is a wasteful number, since it uses less digits than its factorization.

4632997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

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

The square root of 4632997824 is about 68066.1283165129. The cubic root of 4632997824 is about 1667.0707520122.

The spelling of 4632997824 in words is "four billion, six hundred thirty-two million, nine hundred ninety-seven thousand, eight hundred twenty-four".