4884917760 has 320 divisors, whose sum is σ = 17957332800. Its totient is φ = 1257209856.

The previous prime is 4884917749. The next prime is 4884917771. The reversal of 4884917760 is 677194884.

It is a happy number.

4884917760 is a `hidden beast` number, since 4 + 88 + 491 + 7 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4884917749) and next prime (4884917771).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 4884917697 and 4884917706.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2003262 + ... + 2005698.

It is an arithmetic number, because the mean of its divisors is an integer number (56116665).

Almost surely, 2^4884917760 is an apocalyptic number.

4884917760 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 4884917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8978666400).

4884917760 is an abundant number, since it is smaller than the sum of its proper divisors (13072415040).

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

4884917760 is a wasteful number, since it uses less digits than its factorization.

4884917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 4884917760 is about 69892.1866877836. The cubic root of 4884917760 is about 1696.7547963446.

The spelling of 4884917760 in words is "four billion, eight hundred eighty-four million, nine hundred seventeen thousand, seven hundred sixty".