4632007680 has 616 divisors, whose sum is σ = 17881069032. Its totient is φ = 1146617856.

The previous prime is 4632007669. The next prime is 4632007717. The reversal of 4632007680 is 867002364.

It can be written as a sum of positive squares in 4 ways, for example, as 1077940224 + 3554067456 = 32832^2 + 59616^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63452124 + ... + 63452196.

Almost surely, 2^4632007680 is an apocalyptic number.

4632007680 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 4632007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8940534516).

4632007680 is an abundant number, since it is smaller than the sum of its proper divisors (13249061352).

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

4632007680 is an equidigital number, since it uses as much as digits as its factorization.

4632007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4632007680 is about 68058.8545304724. The cubic root of 4632007680 is about 1666.9519838648.

The spelling of 4632007680 in words is "four billion, six hundred thirty-two million, seven thousand, six hundred eighty".