4582993680 has 60 divisors (see below), whose sum is σ = 15391222860. Its totient is φ = 1222131456.

The previous prime is 4582993669. The next prime is 4582993691. The reversal of 4582993680 is 863992854.

4582993680 is a `hidden beast` number, since 458 + 29 + 93 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4582993669) and next prime (4582993691).

It can be written as a sum of positive squares in 2 ways, for example, as 1342196496 + 3240797184 = 36636^2 + 56928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3181915 + ... + 3183354.

It is an arithmetic number, because the mean of its divisors is an integer number (256520381).

Almost surely, 2^4582993680 is an apocalyptic number.

4582993680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4582993680 is an abundant number, since it is smaller than the sum of its proper divisors (10808229180).

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

4582993680 is a wasteful number, since it uses less digits than its factorization.

4582993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365288 (or 6365279 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 4582993680 is about 67697.8114860444. The cubic root of 4582993680 is about 1661.0514556000.

The spelling of 4582993680 in words is "four billion, five hundred eighty-two million, nine hundred ninety-three thousand, six hundred eighty".