63634404042400 has 72 divisors (see below), whose sum is σ = 155497875678684. Its totient is φ = 25429120665600.

The previous prime is 63634404042373. The next prime is 63634404042403. The reversal of 63634404042400 is 424040443636.

63634404042400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 49040384317456 + 14594019724944 = 7002884^2 + 3820212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (63634404042403) 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 11 ways as a sum of consecutive naturals, for example, 37674571 + ... + 39327370.

Almost surely, 2^{63634404042400} is an apocalyptic number.

It is an amenable number.

63634404042400 is an abundant number, since it is smaller than the sum of its proper divisors (91863471636284).

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

63634404042400 is a wasteful number, since it uses less digits than its factorization.

63634404042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77002994 (or 77002981 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

The spelling of 63634404042400 in words is "sixty-three trillion, six hundred thirty-four billion, four hundred four million, forty-two thousand, four hundred".