4508761680 has 60 divisors (see below), whose sum is σ = 15141927060. Its totient is φ = 1202336256.

The previous prime is 4508761679. The next prime is 4508761681. The reversal of 4508761680 is 861678054.

It is a happy number.

4508761680 is a `hidden beast` number, since 4 + 508 + 7 + 61 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4508761679) and next prime (4508761681).

It can be written as a sum of positive squares in 2 ways, for example, as 2543790096 + 1964971584 = 50436^2 + 44328^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4508761681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3130365 + ... + 3131804.

It is an arithmetic number, because the mean of its divisors is an integer number (252365451).

Almost surely, 2^4508761680 is an apocalyptic number.

4508761680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4508761680 is an abundant number, since it is smaller than the sum of its proper divisors (10633165380).

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

4508761680 is a wasteful number, since it uses less digits than its factorization.

4508761680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6262188 (or 6262179 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4508761680 is about 67147.3132746203. The cubic root of 4508761680 is about 1652.0344271876.

The spelling of 4508761680 in words is "four billion, five hundred eight million, seven hundred sixty-one thousand, six hundred eighty".