63727713 has 48 divisors (see below), whose sum is σ = 112394880. Its totient is φ = 33965568.

The previous prime is 63727693. The next prime is 63727721. The reversal of 63727713 is 31772736.

63727713 is a `hidden beast` number, since 637 + 2 + 7 + 7 + 13 = 666.

It is not a de Polignac number, because 63727713 - 2⁹ = 63727201 is a prime.

It is a super-2 number, since 2×63727713² = 8122442808420738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63727513) 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, 167958 + ... + 168336.

It is an arithmetic number, because the mean of its divisors is an integer number (2341560).

Almost surely, 2^63727713 is an apocalyptic number.

63727713 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

63727713 is a deficient number, since it is larger than the sum of its proper divisors (48667167).

63727713 is a wasteful number, since it uses less digits than its factorization.

63727713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 63727713 is about 7982.9639232556. The cubic root of 63727713 is about 399.4319290370.

The spelling of 63727713 in words is "sixty-three million, seven hundred twenty-seven thousand, seven hundred thirteen".