4775832720 has 240 divisors, whose sum is σ = 17006625792. Its totient is φ = 1198955520.

The previous prime is 4775832713. The next prime is 4775832749. The reversal of 4775832720 is 272385774.

4775832720 is a `hidden beast` number, since 47 + 7 + 583 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822949 + ... + 828731.

Almost surely, 2^4775832720 is an apocalyptic number.

4775832720 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 4775832720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503312896).

4775832720 is an abundant number, since it is smaller than the sum of its proper divisors (12230793072).

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

4775832720 is a wasteful number, since it uses less digits than its factorization.

4775832720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 4775832720 is about 69107.3998932097. The cubic root of 4775832720 is about 1684.0295280150.

The spelling of 4775832720 in words is "four billion, seven hundred seventy-five million, eight hundred thirty-two thousand, seven hundred twenty".