4474877760 has 168 divisors, whose sum is σ = 15767538696. Its totient is φ = 1164165120.

The previous prime is 4474877731. The next prime is 4474877761. The reversal of 4474877760 is 677784744.

It can be written as a sum of positive squares in 4 ways, for example, as 405458496 + 4069419264 = 20136^2 + 63792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4474877697 and 4474877706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4474877761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99132 + ... + 137028.

It is an arithmetic number, because the mean of its divisors is an integer number (93854397).

Almost surely, 2^4474877760 is an apocalyptic number.

4474877760 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 4474877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883769348).

4474877760 is an abundant number, since it is smaller than the sum of its proper divisors (11292660936).

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

4474877760 is a wasteful number, since it uses less digits than its factorization.

4474877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37961 (or 37948 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The square root of 4474877760 is about 66894.5271304013. The cubic root of 4474877760 is about 1647.8856001903.

The spelling of 4474877760 in words is "four billion, four hundred seventy-four million, eight hundred seventy-seven thousand, seven hundred sixty".