6632822880 has 72 divisors (see below), whose sum is σ = 22634512992. Its totient is φ = 1768752384.

The previous prime is 6632822863. The next prime is 6632822887. The reversal of 6632822880 is 882282366.

6632822880 is a `hidden beast` number, since 6 + 632 + 8 + 2 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (6632822887) 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, 2301624 + ... + 2304503.

It is an arithmetic number, because the mean of its divisors is an integer number (314368236).

Almost surely, 2^6632822880 is an apocalyptic number.

6632822880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6632822880 is an abundant number, since it is smaller than the sum of its proper divisors (16001690112).

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

6632822880 is a wasteful number, since it uses less digits than its factorization.

6632822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606148 (or 4606137 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6632822880 is about 81442.1443725544. The cubic root of 6632822880 is about 1878.8818309279.

The spelling of 6632822880 in words is "six billion, six hundred thirty-two million, eight hundred twenty-two thousand, eight hundred eighty".