4775431680 has 320 divisors, whose sum is σ = 17264966400. Its totient is φ = 1250795520.

The previous prime is 4775431679. The next prime is 4775431691. The reversal of 4775431680 is 861345774.

4775431680 is a `hidden beast` number, since 47 + 7 + 543 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4077495 + ... + 4078665.

It is an arithmetic number, because the mean of its divisors is an integer number (53953020).

Almost surely, 2^4775431680 is an apocalyptic number.

4775431680 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 4775431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632483200).

4775431680 is an abundant number, since it is smaller than the sum of its proper divisors (12489534720).

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

4775431680 is a wasteful number, since it uses less digits than its factorization.

4775431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4775431680 is about 69104.4982616906. The cubic root of 4775431680 is about 1683.9823891426.

The spelling of 4775431680 in words is "four billion, seven hundred seventy-five million, four hundred thirty-one thousand, six hundred eighty".