636612480 has 512 divisors, whose sum is σ = 2722176000. Its totient is φ = 137355264.

The previous prime is 636612479. The next prime is 636612503. The reversal of 636612480 is 84216636.

636612480 is a `hidden beast` number, since 6 + 36 + 612 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298102 + ... + 2298378.

It is an arithmetic number, because the mean of its divisors is an integer number (5316750).

Almost surely, 2^636612480 is an apocalyptic number.

636612480 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 636612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361088000).

636612480 is an abundant number, since it is smaller than the sum of its proper divisors (2085563520).

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

636612480 is a wasteful number, since it uses less digits than its factorization.

636612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 636612480 is about 25231.1807095903. The cubic root of 636612480 is about 860.2507291294.

The spelling of 636612480 in words is "six hundred thirty-six million, six hundred twelve thousand, four hundred eighty".