4800633984 has 96 divisors (see below), whose sum is σ = 13957064940. Its totient is φ = 1583677440.

The previous prime is 4800633983. The next prime is 4800633989. The reversal of 4800633984 is 4893360084.

4800633984 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 633 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4506168384 + 294465600 = 67128^2 + 17160^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4800633983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90264 + ... + 133224.

Almost surely, 2^4800633984 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 4800633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978532470).

4800633984 is an abundant number, since it is smaller than the sum of its proper divisors (9156430956).

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

4800633984 is a wasteful number, since it uses less digits than its factorization.

4800633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43078 (or 43063 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4800633984 is about 69286.6075370991. The cubic root of 4800633984 is about 1686.9395943916.

The spelling of 4800633984 in words is "four billion, eight hundred million, six hundred thirty-three thousand, nine hundred eighty-four".