4832682624 has 576 divisors, whose sum is σ = 18157819680. Its totient is φ = 1219276800.

The previous prime is 4832682619. The next prime is 4832682691. The reversal of 4832682624 is 4262862384.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4832682624.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26699814 + ... + 26699994.

Almost surely, 2^4832682624 is an apocalyptic number.

4832682624 is a gapful number since it is divisible by the number (44) 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 4832682624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9078909840).

4832682624 is an abundant number, since it is smaller than the sum of its proper divisors (13325137056).

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

4832682624 is a wasteful number, since it uses less digits than its factorization.

4832682624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4832682624 is about 69517.4986891790. The cubic root of 4832682624 is about 1690.6852284724.

The spelling of 4832682624 in words is "four billion, eight hundred thirty-two million, six hundred eighty-two thousand, six hundred twenty-four".