4631638080 has 224 divisors, whose sum is σ = 15337340928. Its totient is φ = 1182873600.

The previous prime is 4631638079. The next prime is 4631638091. The reversal of 4631638080 is 808361364.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3064525 + ... + 3066035.

It is an arithmetic number, because the mean of its divisors is an integer number (68470272).

Almost surely, 2^4631638080 is an apocalyptic number.

4631638080 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 4631638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668670464).

4631638080 is an abundant number, since it is smaller than the sum of its proper divisors (10705702848).

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

4631638080 is a wasteful number, since it uses less digits than its factorization.

4631638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4631638080 is about 68056.1391793569. The cubic root of 4631638080 is about 1666.9076458668.

The spelling of 4631638080 in words is "four billion, six hundred thirty-one million, six hundred thirty-eight thousand, eighty".