63867984428160 has 3072 divisors, whose sum is σ = 277736449536000. Its totient is φ = 13319877427200.

The previous prime is 63867984428113. The next prime is 63867984428161. The reversal of 63867984428160 is 6182448976836.

63867984428160 is a `hidden beast` number, since 6 + 3 + 8 + 67 + 9 + 84 + 428 + 1 + 60 = 666.

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 (63867984428161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86424877071 + ... + 86424877809.

It is an arithmetic number, because the mean of its divisors is an integer number (90409000500).

Almost surely, 2^{63867984428160} is an apocalyptic number.

63867984428160 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 63867984428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138868224768000).

63867984428160 is an abundant number, since it is smaller than the sum of its proper divisors (213868465107840).

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

63867984428160 is a wasteful number, since it uses less digits than its factorization.

63867984428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 63867984428160 in words is "sixty-three trillion, eight hundred sixty-seven billion, nine hundred eighty-four million, four hundred twenty-eight thousand, one hundred sixty".