63346821120 has 960 divisors, whose sum is σ = 254295961920. Its totient is φ = 14952038400.

The previous prime is 63346821119. The next prime is 63346821127. The reversal of 63346821120 is 2112864336.

63346821120 is a `hidden beast` number, since 633 + 4 + 6 + 8 + 2 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63346821127) 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 79 ways as a sum of consecutive naturals, for example, 483563455 + ... + 483563585.

It is an arithmetic number, because the mean of its divisors is an integer number (264891627).

Almost surely, 2^63346821120 is an apocalyptic number.

63346821120 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 63346821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127147980960).

63346821120 is an abundant number, since it is smaller than the sum of its proper divisors (190949140800).

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

63346821120 is a wasteful number, since it uses less digits than its factorization.

63346821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 63346821120 in words is "sixty-three billion, three hundred forty-six million, eight hundred twenty-one thousand, one hundred twenty".