64363631304960 has 2592 divisors, whose sum is σ = 263385056712960. Its totient is φ = 14941003972608.

The previous prime is 64363631304953. The next prime is 64363631305003. The reversal of 64363631304960 is 6940313636346.

64363631304960 is a `hidden beast` number, since 6 + 4 + 3 + 63 + 63 + 1 + 30 + 496 + 0 = 666.

64363631304960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64363631304897 and 64363631304906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 624889624269 + ... + 624889624371.

Almost surely, 2^{64363631304960} is an apocalyptic number.

64363631304960 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 64363631304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131692528356480).

64363631304960 is an abundant number, since it is smaller than the sum of its proper divisors (199021425408000).

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

64363631304960 is a wasteful number, since it uses less digits than its factorization.

64363631304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 54.

The spelling of 64363631304960 in words is "sixty-four trillion, three hundred sixty-three billion, six hundred thirty-one million, three hundred four thousand, nine hundred sixty".