4985412768 has 144 divisors (see below), whose sum is σ = 16223276160. Its totient is φ = 1422586368.

The previous prime is 4985412763. The next prime is 4985412769. The reversal of 4985412768 is 8672145894.

It is a happy number.

4985412768 is a `hidden beast` number, since 4 + 98 + 541 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4985412763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2916298 + ... + 2918006.

It is an arithmetic number, because the mean of its divisors is an integer number (112661640).

Almost surely, 2^4985412768 is an apocalyptic number.

4985412768 is a gapful number since it is divisible by the number (48) 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 4985412768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111638080).

4985412768 is an abundant number, since it is smaller than the sum of its proper divisors (11237863392).

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

4985412768 is a wasteful number, since it uses less digits than its factorization.

4985412768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3168 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 4985412768 is about 70607.4554703680. The cubic root of 4985412768 is about 1708.3114058329.

The spelling of 4985412768 in words is "four billion, nine hundred eighty-five million, four hundred twelve thousand, seven hundred sixty-eight".