636672960 has 840 divisors, whose sum is σ = 2943087840. Its totient is φ = 127733760.

The previous prime is 636672937. The next prime is 636672961. The reversal of 636672960 is 69276636.

636672960 is a `hidden beast` number, since 636 + 6 + 7 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (636672961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954226 + ... + 21954254.

It is an arithmetic number, because the mean of its divisors is an integer number (3503676).

Almost surely, 2^636672960 is an apocalyptic number.

636672960 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 636672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471543920).

636672960 is an abundant number, since it is smaller than the sum of its proper divisors (2306414880).

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

636672960 is a wasteful number, since it uses less digits than its factorization.

636672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 636672960 is about 25232.3791981652. The cubic root of 636672960 is about 860.2779703571.

The spelling of 636672960 in words is "six hundred thirty-six million, six hundred seventy-two thousand, nine hundred sixty".