4801127760 has 720 divisors, whose sum is σ = 20262685248. Its totient is φ = 1006387200.

The previous prime is 4801127731. The next prime is 4801127789. The reversal of 4801127760 is 677211084.

4801127760 is a `hidden beast` number, since 480 + 112 + 7 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4801127731) and next prime (4801127789).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22754055 + ... + 22754265.

Almost surely, 2^4801127760 is an apocalyptic number.

4801127760 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 4801127760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131342624).

4801127760 is an abundant number, since it is smaller than the sum of its proper divisors (15461557488).

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

4801127760 is a wasteful number, since it uses less digits than its factorization.

4801127760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 4801127760 is about 69290.1707314970. The cubic root of 4801127760 is about 1686.9974299283.

The spelling of 4801127760 in words is "four billion, eight hundred one million, one hundred twenty-seven thousand, seven hundred sixty".