63465729600 has 1344 divisors, whose sum is σ = 273173626880. Its totient is φ = 12541132800.

The previous prime is 63465729599. The next prime is 63465729619. The reversal of 63465729600 is 692756436.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 63465729600.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 582254346 + ... + 582254454.

Almost surely, 2^63465729600 is an apocalyptic number.

63465729600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63465729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136586813440).

63465729600 is an abundant number, since it is smaller than the sum of its proper divisors (209707897280).

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

63465729600 is a wasteful number, since it uses less digits than its factorization.

63465729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 63465729600 in words is "sixty-three billion, four hundred sixty-five million, seven hundred twenty-nine thousand, six hundred".