633469680 has 320 divisors, whose sum is σ = 2339850240. Its totient is φ = 157132800.

The previous prime is 633469663. The next prime is 633469699. The reversal of 633469680 is 86964336.

633469680 is a `hidden beast` number, since 633 + 4 + 6 + 9 + 6 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2036725 + ... + 2037035.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^633469680 is an apocalyptic number.

633469680 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 633469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169925120).

633469680 is an abundant number, since it is smaller than the sum of its proper divisors (1706380560).

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

633469680 is a wasteful number, since it uses less digits than its factorization.

633469680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

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

The square root of 633469680 is about 25168.8235720305. The cubic root of 633469680 is about 858.8327774366.

The spelling of 633469680 in words is "six hundred thirty-three million, four hundred sixty-nine thousand, six hundred eighty".