4667765760 has 528 divisors, whose sum is σ = 19159920000. Its totient is φ = 1028063232.

The previous prime is 4667765737. The next prime is 4667765801. The reversal of 4667765760 is 675677664.

4667765760 is a `hidden beast` number, since 4 + 6 + 67 + 7 + 6 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4667765697 and 4667765706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9353991 + ... + 9354489.

Almost surely, 2^4667765760 is an apocalyptic number.

4667765760 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 4667765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579960000).

4667765760 is an abundant number, since it is smaller than the sum of its proper divisors (14492154240).

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

4667765760 is a wasteful number, since it uses less digits than its factorization.

4667765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The square root of 4667765760 is about 68321.0491722719. The cubic root of 4667765760 is about 1671.2304937934.

The spelling of 4667765760 in words is "four billion, six hundred sixty-seven million, seven hundred sixty-five thousand, seven hundred sixty".