4819920768 has 256 divisors, whose sum is σ = 15545779200. Its totient is φ = 1461196800.

The previous prime is 4819920761. The next prime is 4819920769. The reversal of 4819920768 is 8670299184.

4819920768 is a `hidden beast` number, since 481 + 9 + 92 + 0 + 76 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4819920761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189133 + ... + 3190643.

It is an arithmetic number, because the mean of its divisors is an integer number (60725700).

Almost surely, 2^4819920768 is an apocalyptic number.

4819920768 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 4819920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772889600).

4819920768 is an abundant number, since it is smaller than the sum of its proper divisors (10725858432).

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

4819920768 is a wasteful number, since it uses less digits than its factorization.

4819920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 4819920768 is about 69425.6492083437. The cubic root of 4819920768 is about 1689.1956967798.

The spelling of 4819920768 in words is "four billion, eight hundred nineteen million, nine hundred twenty thousand, seven hundred sixty-eight".