4777328160 has 960 divisors, whose sum is σ = 20233027584. Its totient is φ = 1049241600.

The previous prime is 4777328147. The next prime is 4777328167. The reversal of 4777328160 is 618237774.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777328167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101645257 + ... + 101645303.

Almost surely, 2^4777328160 is an apocalyptic number.

4777328160 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 4777328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116513792).

4777328160 is an abundant number, since it is smaller than the sum of its proper divisors (15455699424).

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

4777328160 is a wasteful number, since it uses less digits than its factorization.

4777328160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 4777328160 is about 69118.2187270476. The cubic root of 4777328160 is about 1684.2052811213.

The spelling of 4777328160 in words is "four billion, seven hundred seventy-seven million, three hundred twenty-eight thousand, one hundred sixty".