63645724352 has 112 divisors (see below), whose sum is σ = 145962136320. Its totient is φ = 26971149312.

The previous prime is 63645724343. The next prime is 63645724357. The reversal of 63645724352 is 25342754636.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 63645724297 and 63645724306.

It is not an unprimeable number, because it can be changed into a prime (63645724357) 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 15 ways as a sum of consecutive naturals, for example, 31397963 + ... + 31399989.

It is an arithmetic number, because the mean of its divisors is an integer number (1303233360).

Almost surely, 2^63645724352 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 63645724352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72981068160).

63645724352 is an abundant number, since it is smaller than the sum of its proper divisors (82316411968).

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

63645724352 is a wasteful number, since it uses less digits than its factorization.

63645724352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2788 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 47.

The spelling of 63645724352 in words is "sixty-three billion, six hundred forty-five million, seven hundred twenty-four thousand, three hundred fifty-two".