63340411404336 has 360 divisors, whose sum is σ = 184980520488960. Its totient is φ = 18662071887360.

The previous prime is 63340411404323. The next prime is 63340411404367.

63340411404336 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22000836145 + ... + 22000839023.

It is an arithmetic number, because the mean of its divisors is an integer number (513834779136).

Almost surely, 2^{63340411404336} is an apocalyptic number.

63340411404336 is a gapful number since it is divisible by the number (66) 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 63340411404336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92490260244480).

63340411404336 is an abundant number, since it is smaller than the sum of its proper divisors (121640109084624).

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

63340411404336 is a wasteful number, since it uses less digits than its factorization.

63340411404336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

It can be divided in two parts, 6334041 and 1404336, that added together give a palindrome (7738377).

The spelling of 63340411404336 in words is "sixty-three trillion, three hundred forty billion, four hundred eleven million, four hundred four thousand, three hundred thirty-six".