4766398560 has 1152 divisors, whose sum is σ = 22338892800. Its totient is φ = 936714240.

The previous prime is 4766398531. The next prime is 4766398619. The reversal of 4766398560 is 658936674.

4766398560 is a `hidden beast` number, since 4 + 76 + 6 + 3 + 9 + 8 + 560 = 666.

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 = 4766398497 and 4766398506.

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 191 ways as a sum of consecutive naturals, for example, 53554996 + ... + 53555084.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^4766398560 is an apocalyptic number.

4766398560 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 4766398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11169446400).

4766398560 is an abundant number, since it is smaller than the sum of its proper divisors (17572494240).

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

4766398560 is a wasteful number, since it uses less digits than its factorization.

4766398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

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

The square root of 4766398560 is about 69039.1089166133. The cubic root of 4766398560 is about 1682.9199220925.

The spelling of 4766398560 in words is "four billion, seven hundred sixty-six million, three hundred ninety-eight thousand, five hundred sixty".