636746880 has 512 divisors, whose sum is σ = 2608588800. Its totient is φ = 128286720.

The previous prime is 636746857. The next prime is 636746893. The reversal of 636746880 is 88647636.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8722524 + ... + 8722596.

It is an arithmetic number, because the mean of its divisors is an integer number (5094900).

Almost surely, 2^636746880 is an apocalyptic number.

636746880 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 636746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304294400).

636746880 is an abundant number, since it is smaller than the sum of its proper divisors (1971841920).

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

636746880 is a wasteful number, since it uses less digits than its factorization.

636746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 636746880 is about 25233.8439402323. The cubic root of 636746880 is about 860.3112628482.

The spelling of 636746880 in words is "six hundred thirty-six million, seven hundred forty-six thousand, eight hundred eighty".