63967326289920 has 480 divisors, whose sum is σ = 239402727244800. Its totient is φ = 16160156024832.

The previous prime is 63967326289913. The next prime is 63967326289927. The reversal of 63967326289920 is 2998262376936.

63967326289920 is a `hidden beast` number, since 6 + 396 + 73 + 2 + 6 + 2 + 89 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (63967326289913) and next prime (63967326289927).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (63967326289927) 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 31 ways as a sum of consecutive naturals, for example, 41263897 + ... + 42786023.

It is an arithmetic number, because the mean of its divisors is an integer number (498755681760).

Almost surely, 2^{63967326289920} is an apocalyptic number.

63967326289920 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 63967326289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119701363622400).

63967326289920 is an abundant number, since it is smaller than the sum of its proper divisors (175435400954880).

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

63967326289920 is a wasteful number, since it uses less digits than its factorization.

63967326289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522188 (or 1522156 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 63967326289920 in words is "sixty-three trillion, nine hundred sixty-seven billion, three hundred twenty-six million, two hundred eighty-nine thousand, nine hundred twenty".