633646464 has 64 divisors (see below), whose sum is σ = 1836146880. Its totient is φ = 192012800.

The previous prime is 633646463. The next prime is 633646469. The reversal of 633646464 is 464646336.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633646463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70782 + ... + 79229.

It is an arithmetic number, because the mean of its divisors is an integer number (28689795).

Almost surely, 2^633646464 is an apocalyptic number.

633646464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

633646464 is an abundant number, since it is smaller than the sum of its proper divisors (1202500416).

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

633646464 is a wasteful number, since it uses less digits than its factorization.

633646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150039 (or 150027 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The square root of 633646464 is about 25172.3352909499. The cubic root of 633646464 is about 858.9126622240.

The spelling of 633646464 in words is "six hundred thirty-three million, six hundred forty-six thousand, four hundred sixty-four".