4957341760 has 168 divisors, whose sum is σ = 13783345560. Its totient is φ = 1693310976.

The previous prime is 4957341713. The next prime is 4957341791. The reversal of 4957341760 is 671437594.

It can be written as a sum of positive squares in 4 ways, for example, as 433972224 + 4523369536 = 20832^2 + 67256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4957341760.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6412734 + ... + 6413506.

Almost surely, 2^4957341760 is an apocalyptic number.

4957341760 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 4957341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891672780).

4957341760 is an abundant number, since it is smaller than the sum of its proper divisors (8826003800).

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

4957341760 is a wasteful number, since it uses less digits than its factorization.

4957341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 4957341760 is about 70408.3926815547. The cubic root of 4957341760 is about 1705.0990800774.

The spelling of 4957341760 in words is "four billion, nine hundred fifty-seven million, three hundred forty-one thousand, seven hundred sixty".