4632884999680 has 640 divisors, whose sum is σ = 13706945556480. Its totient is φ = 1465759825920.

The previous prime is 4632884999641. The next prime is 4632884999683. The reversal of 4632884999680 is 869994882364.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 4632884999597 and 4632884999606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632884999683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3922848690 + ... + 3922849870.

It is an arithmetic number, because the mean of its divisors is an integer number (21417102432).

Almost surely, 2^{4632884999680} is an apocalyptic number.

4632884999680 is a gapful number since it is divisible by the number (40) 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 4632884999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853472778240).

4632884999680 is an abundant number, since it is smaller than the sum of its proper divisors (9074060556800).

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

4632884999680 is a wasteful number, since it uses less digits than its factorization.

4632884999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 76.

The spelling of 4632884999680 in words is "four trillion, six hundred thirty-two billion, eight hundred eighty-four million, nine hundred ninety-nine thousand, six hundred eighty".