4869365760 has 896 divisors, whose sum is σ = 21515466240. Its totient is φ = 1019215872.

The previous prime is 4869365729. The next prime is 4869365773. The reversal of 4869365760 is 675639684.

4869365760 is a `hidden beast` number, since 4 + 8 + 69 + 3 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4869365697 and 4869365706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131604462 + ... + 131604498.

Almost surely, 2^4869365760 is an apocalyptic number.

4869365760 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 4869365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757733120).

4869365760 is an abundant number, since it is smaller than the sum of its proper divisors (16646100480).

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

4869365760 is a wasteful number, since it uses less digits than its factorization.

4869365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 4869365760 is about 69780.8409235658. The cubic root of 4869365760 is about 1694.9522423697.

The spelling of 4869365760 in words is "four billion, eight hundred sixty-nine million, three hundred sixty-five thousand, seven hundred sixty".