63345390151680 has 4320 divisors, whose sum is σ = 295873669826280. Its totient is φ = 12454180945920.

The previous prime is 63345390151663. The next prime is 63345390151711. The reversal of 63345390151680 is 8615109354336.

63345390151680 is a `hidden beast` number, since 6 + 3 + 3 + 4 + 539 + 0 + 15 + 16 + 80 = 666.

63345390151680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20776968446976 + 42568421704704 = 4558176^2 + 6524448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1038449018850 + ... + 1038449018910.

Almost surely, 2^{63345390151680} is an apocalyptic number.

63345390151680 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 63345390151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147936834913140).

63345390151680 is an abundant number, since it is smaller than the sum of its proper divisors (232528279674600).

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

63345390151680 is a wasteful number, since it uses less digits than its factorization.

63345390151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 63345390151680 in words is "sixty-three trillion, three hundred forty-five billion, three hundred ninety million, one hundred fifty-one thousand, six hundred eighty".