63133680 has 80 divisors (see below), whose sum is σ = 196728480. Its totient is φ = 16748544.

The previous prime is 63133657. The next prime is 63133691. The reversal of 63133680 is 8633136.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 55356 + ... + 56484.

It is an arithmetic number, because the mean of its divisors is an integer number (2459106).

Almost surely, 2^63133680 is an apocalyptic number.

63133680 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 63133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98364240).

63133680 is an abundant number, since it is smaller than the sum of its proper divisors (133594800).

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

63133680 is a wasteful number, since it uses less digits than its factorization.

63133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 63133680 is about 7945.6705192199. The cubic root of 63133680 is about 398.1869613094.

The spelling of 63133680 in words is "sixty-three million, one hundred thirty-three thousand, six hundred eighty".