4695777760 has 48 divisors (see below), whose sum is σ = 11208180816. Its totient is φ = 1858940928.

The previous prime is 4695777721. The next prime is 4695777761. The reversal of 4695777760 is 677775964.

It is a junction number, because it is equal to n+sod(n) for n = 4695777695 and 4695777704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4695777761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135762 + ... + 166801.

It is an arithmetic number, because the mean of its divisors is an integer number (233503767).

Almost surely, 2^4695777760 is an apocalyptic number.

4695777760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4695777760 is an abundant number, since it is smaller than the sum of its proper divisors (6512403056).

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

4695777760 is a wasteful number, since it uses less digits than its factorization.

4695777760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302675 (or 302667 counting only the distinct ones).

The product of its (nonzero) digits is 15558480, while the sum is 58.

The square root of 4695777760 is about 68525.7452349115. The cubic root of 4695777760 is about 1674.5669346004.

The spelling of 4695777760 in words is "four billion, six hundred ninety-five million, seven hundred seventy-seven thousand, seven hundred sixty".