63364513449600 has 1152 divisors, whose sum is σ = 255354089328000. Its totient is φ = 14820057907200.

The previous prime is 63364513449569. The next prime is 63364513449617. The reversal of 63364513449600 is 694431546336.

63364513449600 is a `hidden beast` number, since 6 + 3 + 3 + 64 + 513 + 4 + 4 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21948219357 + ... + 21948222243.

It is an arithmetic number, because the mean of its divisors is an integer number (221661535875).

Almost surely, 2^{63364513449600} is an apocalyptic number.

63364513449600 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 63364513449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127677044664000).

63364513449600 is an abundant number, since it is smaller than the sum of its proper divisors (191989575878400).

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

63364513449600 is a wasteful number, since it uses less digits than its factorization.

63364513449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 63364513449600 in words is "sixty-three trillion, three hundred sixty-four billion, five hundred thirteen million, four hundred forty-nine thousand, six hundred".