63729131562 has 80 divisors (see below), whose sum is σ = 144542403720. Its totient is φ = 20984375808.

The previous prime is 63729131551. The next prime is 63729131563. The reversal of 63729131562 is 26513192736.

63729131562 is a `hidden beast` number, since 6 + 3 + 72 + 9 + 13 + 1 + 562 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30576369321 + 33152762241 = 174861^2 + 182079^2 .

It is a super-2 number, since 2×63729131562² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63729131563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29599078 + ... + 29601230.

Almost surely, 2^63729131562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63729131562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72271201860).

63729131562 is an abundant number, since it is smaller than the sum of its proper divisors (80813272158).

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

63729131562 is a wasteful number, since it uses less digits than its factorization.

63729131562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4300 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 63729131562 in words is "sixty-three billion, seven hundred twenty-nine million, one hundred thirty-one thousand, five hundred sixty-two".