4698869760 has 624 divisors, whose sum is σ = 18354261744. Its totient is φ = 1104150528.

The previous prime is 4698869743. The next prime is 4698869779. The reversal of 4698869760 is 679688964.

4698869760 is a `hidden beast` number, since 469 + 8 + 86 + 97 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26873856 + 4671995904 = 5184^2 + 68352^2 .

It is a tau number, because it is divible by the number of its divisors (624).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88657894 + ... + 88657946.

It is an arithmetic number, because the mean of its divisors is an integer number (29413881).

Almost surely, 2^4698869760 is an apocalyptic number.

4698869760 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 4698869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177130872).

4698869760 is an abundant number, since it is smaller than the sum of its proper divisors (13655391984).

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

4698869760 is a wasteful number, since it uses less digits than its factorization.

4698869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 4698869760 is about 68548.3023859818. The cubic root of 4698869760 is about 1674.9344012328.

The spelling of 4698869760 in words is "four billion, six hundred ninety-eight million, eight hundred sixty-nine thousand, seven hundred sixty".