63361828696320 has 1728 divisors, whose sum is σ = 298363034511360. Its totient is φ = 12473052364800.

The previous prime is 63361828696319. The next prime is 63361828696321. The reversal of 63361828696320 is 2369682816336.

63361828696320 is a `hidden beast` number, since 6 + 3 + 3 + 618 + 2 + 8 + 6 + 9 + 6 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63361828696319) and next prime (63361828696321).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (63361828696321) 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 191 ways as a sum of consecutive naturals, for example, 454981900 + ... + 455121140.

It is an arithmetic number, because the mean of its divisors is an integer number (172663793120).

Almost surely, 2^{63361828696320} is an apocalyptic number.

63361828696320 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 63361828696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149181517255680).

63361828696320 is an abundant number, since it is smaller than the sum of its proper divisors (235001205815040).

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

63361828696320 is a wasteful number, since it uses less digits than its factorization.

63361828696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139314 (or 139288 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 63361828696320 in words is "sixty-three trillion, three hundred sixty-one billion, eight hundred twenty-eight million, six hundred ninety-six thousand, three hundred twenty".