63051768 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 17971200.

The previous prime is 63051761. The next prime is 63051773. The reversal of 63051768 is 86715036.

63051768 is a `hidden beast` number, since 630 + 5 + 17 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63051761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189630 + ... + 1189682.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^63051768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63051768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

63051768 is an abundant number, since it is smaller than the sum of its proper divisors (135080712).

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

63051768 is a wasteful number, since it uses less digits than its factorization.

63051768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 63051768 is about 7940.5143410235. The cubic root of 63051768 is about 398.0146792226.

The spelling of 63051768 in words is "sixty-three million, fifty-one thousand, seven hundred sixty-eight".