4677466240 has 128 divisors (see below), whose sum is σ = 11555233200. Its totient is φ = 1809580032.

The previous prime is 4677466237. The next prime is 4677466249. The reversal of 4677466240 is 426647764.

It can be written as a sum of positive squares in 8 ways, for example, as 2656783936 + 2020682304 = 51544^2 + 44952^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4677466249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475216 + ... + 2477104.

Almost surely, 2^4677466240 is an apocalyptic number.

4677466240 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 4677466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777616600).

4677466240 is an abundant number, since it is smaller than the sum of its proper divisors (6877766960).

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

4677466240 is a wasteful number, since it uses less digits than its factorization.

4677466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 46.

The square root of 4677466240 is about 68392.0042110187. The cubic root of 4677466240 is about 1672.3874013613.

The spelling of 4677466240 in words is "four billion, six hundred seventy-seven million, four hundred sixty-six thousand, two hundred forty".