4776008832 has 640 divisors, whose sum is σ = 17772480000. Its totient is φ = 1268047872.

The previous prime is 4776008813. The next prime is 4776008921. The reversal of 4776008832 is 2388006774.

It is a happy number.

4776008832 is a `hidden beast` number, since 4 + 7 + 7 + 600 + 8 + 8 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60455769 + ... + 60455847.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 2^4776008832 is an apocalyptic number.

4776008832 is a gapful number since it is divisible by the number (42) 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 4776008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240000).

4776008832 is an abundant number, since it is smaller than the sum of its proper divisors (12996471168).

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

4776008832 is an equidigital number, since it uses as much as digits as its factorization.

4776008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 4776008832 is about 69108.6740720729. The cubic root of 4776008832 is about 1684.0502276625.

The spelling of 4776008832 in words is "four billion, seven hundred seventy-six million, eight thousand, eight hundred thirty-two".