4531682880 has 84 divisors (see below), whose sum is σ = 15587110812. Its totient is φ = 1208448000.

The previous prime is 4531682879. The next prime is 4531682899. The reversal of 4531682880 is 882861354.

It can be written as a sum of positive squares in 2 ways, for example, as 1864166976 + 2667515904 = 43176^2 + 51648^2 .

It is a super-2 number, since 2×4531682880² = 41072299449770188800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

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, 783871 + ... + 789630.

It is an arithmetic number, because the mean of its divisors is an integer number (185560843).

Almost surely, 2^4531682880 is an apocalyptic number.

4531682880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531682880 is an abundant number, since it is smaller than the sum of its proper divisors (11055427932).

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

4531682880 is a wasteful number, since it uses less digits than its factorization.

4531682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573524 (or 1573511 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4531682880 is about 67317.7753643122. The cubic root of 4531682880 is about 1654.8291801072.

The spelling of 4531682880 in words is "four billion, five hundred thirty-one million, six hundred eighty-two thousand, eight hundred eighty".