63419798966400 has 384 divisors, whose sum is σ = 232955386924800. Its totient is φ = 16849534464000.

The previous prime is 63419798966389. The next prime is 63419798966401. The reversal of 63419798966400 is 466989791436.

63419798966400 is a `hidden beast` number, since 6 + 3 + 4 + 19 + 79 + 89 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (63419798966401) 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 47 ways as a sum of consecutive naturals, for example, 22060110 + ... + 24768690.

It is an arithmetic number, because the mean of its divisors is an integer number (606654653450).

Almost surely, 2^{63419798966400} is an apocalyptic number.

63419798966400 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 63419798966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116477693462400).

63419798966400 is an abundant number, since it is smaller than the sum of its proper divisors (169535587958400).

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

63419798966400 is a wasteful number, since it uses less digits than its factorization.

63419798966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708885 (or 2708862 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 63419798966400 in words is "sixty-three trillion, four hundred nineteen billion, seven hundred ninety-eight million, nine hundred sixty-six thousand, four hundred".