636682464 has 192 divisors, whose sum is σ = 2092124160. Its totient is φ = 186624000.

The previous prime is 636682463. The next prime is 636682477. The reversal of 636682464 is 464286636.

636682464 is a `hidden beast` number, since 636 + 6 + 8 + 2 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×636682464² = 810729119930222592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636682463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293544 + ... + 295704.

It is an arithmetic number, because the mean of its divisors is an integer number (10896480).

Almost surely, 2^636682464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046062080).

636682464 is an abundant number, since it is smaller than the sum of its proper divisors (1455441696).

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

636682464 is a wasteful number, since it uses less digits than its factorization.

636682464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2208 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 636682464 is about 25232.5675269086. The cubic root of 636682464 is about 860.2822509646.

The spelling of 636682464 in words is "six hundred thirty-six million, six hundred eighty-two thousand, four hundred sixty-four".