63531641640642 has 128 divisors (see below), whose sum is σ = 154441235520000. Its totient is φ = 17008163536896.

The previous prime is 63531641640611. The next prime is 63531641640671. The reversal of 63531641640642 is 24604614613536.

63531641640642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215913734 + ... + 1215965982.

It is an arithmetic number, because the mean of its divisors is an integer number (1206572152500).

Almost surely, 2^{63531641640642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63531641640642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220617760000).

63531641640642 is an abundant number, since it is smaller than the sum of its proper divisors (90909593879358).

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

63531641640642 is a wasteful number, since it uses less digits than its factorization.

63531641640642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59820.

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 63531641640642 in words is "sixty-three trillion, five hundred thirty-one billion, six hundred forty-one million, six hundred forty thousand, six hundred forty-two".