63842384304000 has 640 divisors, whose sum is σ = 240999775473600. Its totient is φ = 16745522688000.

The previous prime is 63842384303899. The next prime is 63842384304001. The reversal of 63842384304000 is 40348324836.

63842384304000 is a `hidden beast` number, since 6 + 3 + 8 + 4 + 238 + 4 + 3 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63842384304001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78652221 + ... + 79459779.

Almost surely, 2^{63842384304000} is an apocalyptic number.

63842384304000 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 63842384304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120499887736800).

63842384304000 is an abundant number, since it is smaller than the sum of its proper divisors (177157391169600).

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

63842384304000 is an equidigital number, since it uses as much as digits as its factorization.

63842384304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807661 (or 807630 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 63842384304000 in words is "sixty-three trillion, eight hundred forty-two billion, three hundred eighty-four million, three hundred four thousand".