633968640 has 192 divisors, whose sum is σ = 2254543200. Its totient is φ = 168984576.

The previous prime is 633968639. The next prime is 633968717. The reversal of 633968640 is 46869336.

633968640 is a `hidden beast` number, since 633 + 9 + 6 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275334 + ... + 277626.

Almost surely, 2^633968640 is an apocalyptic number.

633968640 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 633968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127271600).

633968640 is an abundant number, since it is smaller than the sum of its proper divisors (1620574560).

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

633968640 is a wasteful number, since it uses less digits than its factorization.

633968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 633968640 is about 25178.7338839744. The cubic root of 633968640 is about 859.0582082424.

The spelling of 633968640 in words is "six hundred thirty-three million, nine hundred sixty-eight thousand, six hundred forty".