4971845760 has 384 divisors, whose sum is σ = 18879220800. Its totient is φ = 1109090304.

The previous prime is 4971845719. The next prime is 4971845773. The reversal of 4971845760 is 675481794.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4971845760² = 49438500522459955200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4044826 + ... + 4046054.

Almost surely, 2^4971845760 is an apocalyptic number.

4971845760 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 4971845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439610400).

4971845760 is an abundant number, since it is smaller than the sum of its proper divisors (13907375040).

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

4971845760 is a wasteful number, since it uses less digits than its factorization.

4971845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 4971845760 is about 70511.3165385529. The cubic root of 4971845760 is about 1706.7603654069.

The spelling of 4971845760 in words is "four billion, nine hundred seventy-one million, eight hundred forty-five thousand, seven hundred sixty".