633536640 has 480 divisors, whose sum is σ = 2511473580. Its totient is φ = 152064000.

The previous prime is 633536609. The next prime is 633536653. The reversal of 633536640 is 46635336.

It is a happy number.

633536640 is a `hidden beast` number, since 6 + 3 + 3 + 5 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 602800704 + 30735936 = 24552^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 633536595 and 633536604.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6272590 + ... + 6272690.

Almost surely, 2^633536640 is an apocalyptic number.

633536640 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 633536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255736790).

633536640 is an abundant number, since it is smaller than the sum of its proper divisors (1877936940).

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

633536640 is a wasteful number, since it uses less digits than its factorization.

633536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 633536640 is about 25170.1537540000. The cubic root of 633536640 is about 858.8630369309.

The spelling of 633536640 in words is "six hundred thirty-three million, five hundred thirty-six thousand, six hundred forty".