6632684520 has 256 divisors, whose sum is σ = 24869652480. Its totient is φ = 1374796800.

The previous prime is 6632684519. The next prime is 6632684537. The reversal of 6632684520 is 254862366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5663535 + ... + 5664705.

It is an arithmetic number, because the mean of its divisors is an integer number (97147080).

Almost surely, 2^6632684520 is an apocalyptic number.

6632684520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6632684520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12434826240).

6632684520 is an abundant number, since it is smaller than the sum of its proper divisors (18236967960).

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

6632684520 is a wasteful number, since it uses less digits than its factorization.

6632684520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 6632684520 is about 81441.2949307659. The cubic root of 6632684520 is about 1878.8687664101.

The spelling of 6632684520 in words is "six billion, six hundred thirty-two million, six hundred eighty-four thousand, five hundred twenty".