4657966480 has 160 divisors (see below), whose sum is σ = 11371816800. Its totient is φ = 1773158400.

The previous prime is 4657966441. The next prime is 4657966487. The reversal of 4657966480 is 846697564.

It can be written as a sum of positive squares in 16 ways, for example, as 263867536 + 4394098944 = 16244^2 + 66288^2 .

It is not an unprimeable number, because it can be changed into a prime (4657966487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31261446 + ... + 31261594.

It is an arithmetic number, because the mean of its divisors is an integer number (71073855).

Almost surely, 2^4657966480 is an apocalyptic number.

4657966480 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 4657966480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685908400).

4657966480 is an abundant number, since it is smaller than the sum of its proper divisors (6713850320).

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

4657966480 is a wasteful number, since it uses less digits than its factorization.

4657966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The square root of 4657966480 is about 68249.2965531514. The cubic root of 4657966480 is about 1670.0601744844.

The spelling of 4657966480 in words is "four billion, six hundred fifty-seven million, nine hundred sixty-six thousand, four hundred eighty".