4796386560 has 648 divisors, whose sum is σ = 20038210920. Its totient is φ = 1054900224.

The previous prime is 4796386559. The next prime is 4796386561. The reversal of 4796386560 is 656836974.

4796386560 is a `hidden beast` number, since 4 + 79 + 6 + 3 + 8 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4796386559) and next prime (4796386561).

It can be written as a sum of positive squares in 4 ways, for example, as 1571963904 + 3224422656 = 39648^2 + 56784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4796386497 and 4796386506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4796386561) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 16369774 + ... + 16370066.

It is an arithmetic number, because the mean of its divisors is an integer number (30923165).

Almost surely, 2^4796386560 is an apocalyptic number.

4796386560 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 4796386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019105460).

4796386560 is an abundant number, since it is smaller than the sum of its proper divisors (15241824360).

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

4796386560 is a wasteful number, since it uses less digits than its factorization.

4796386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

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

The square root of 4796386560 is about 69255.9496361143. The cubic root of 4796386560 is about 1686.4419336010.

The spelling of 4796386560 in words is "four billion, seven hundred ninety-six million, three hundred eighty-six thousand, five hundred sixty".