63129019632 has 160 divisors (see below), whose sum is σ = 194636209152. Its totient is φ = 17239191552.

The previous prime is 63129019579. The next prime is 63129019633. The reversal of 63129019632 is 23691092136.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63129019633) 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 31 ways as a sum of consecutive naturals, for example, 13730358 + ... + 13734954.

Almost surely, 2^63129019632 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 63129019632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97318104576).

63129019632 is an abundant number, since it is smaller than the sum of its proper divisors (131507189520).

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

63129019632 is a wasteful number, since it uses less digits than its factorization.

63129019632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 63129019632 in words is "sixty-three billion, one hundred twenty-nine million, nineteen thousand, six hundred thirty-two".