4800726432 has 72 divisors (see below), whose sum is σ = 13909696164. Its totient is φ = 1570043904.

The previous prime is 4800726419. The next prime is 4800726457. The reversal of 4800726432 is 2346270084.

4800726432 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 7 + 2 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4789193616 + 11532816 = 69204^2 + 3396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141993 + ... + 172520.

Almost surely, 2^4800726432 is an apocalyptic number.

It is an amenable number.

4800726432 is an abundant number, since it is smaller than the sum of its proper divisors (9108969732).

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

4800726432 is a wasteful number, since it uses less digits than its factorization.

4800726432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314582 (or 314571 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4800726432 is about 69287.2746758018. The cubic root of 4800726432 is about 1686.9504230441.

The spelling of 4800726432 in words is "four billion, eight hundred million, seven hundred twenty-six thousand, four hundred thirty-two".