4763766480 has 160 divisors (see below), whose sum is σ = 16267530240. Its totient is φ = 1143575040.

The previous prime is 4763766473. The next prime is 4763766487. The reversal of 4763766480 is 846673674.

It is an interprime number because it is at equal distance from previous prime (4763766473) and next prime (4763766487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4763766487) 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 31 ways as a sum of consecutive naturals, for example, 263161 + ... + 280679.

It is an arithmetic number, because the mean of its divisors is an integer number (101672064).

Almost surely, 2^4763766480 is an apocalyptic number.

4763766480 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 4763766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133765120).

4763766480 is an abundant number, since it is smaller than the sum of its proper divisors (11503763760).

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

4763766480 is a wasteful number, since it uses less digits than its factorization.

4763766480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17649 (or 17643 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The square root of 4763766480 is about 69020.0440451902. The cubic root of 4763766480 is about 1682.6100867998.

The spelling of 4763766480 in words is "four billion, seven hundred sixty-three million, seven hundred sixty-six thousand, four hundred eighty".