4676577480 has 48 divisors (see below), whose sum is σ = 15198877980. Its totient is φ = 1247087232.

The previous prime is 4676577469. The next prime is 4676577487. The reversal of 4676577480 is 847756764.

4676577480 is a `hidden beast` number, since 4 + 67 + 6 + 577 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4100865444 + 575712036 = 64038^2 + 23994^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4676577487) 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 11 ways as a sum of consecutive naturals, for example, 6494887 + ... + 6495606.

Almost surely, 2^4676577480 is an apocalyptic number.

4676577480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4676577480 is an abundant number, since it is smaller than the sum of its proper divisors (10522300500).

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

4676577480 is a wasteful number, since it uses less digits than its factorization.

4676577480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990510 (or 12990503 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 4676577480 is about 68385.5063591694. The cubic root of 4676577480 is about 1672.2814718473.

The spelling of 4676577480 in words is "four billion, six hundred seventy-six million, five hundred seventy-seven thousand, four hundred eighty".