63105034122240 has 704 divisors, whose sum is σ = 233537965689600. Its totient is φ = 14373628149760.

The previous prime is 63105034122149. The next prime is 63105034122271. The reversal of 63105034122240 is 4222143050136.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1703267236 + ... + 1703304284.

It is an arithmetic number, because the mean of its divisors is an integer number (331730064900).

Almost surely, 2^{63105034122240} is an apocalyptic number.

63105034122240 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 63105034122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116768982844800).

63105034122240 is an abundant number, since it is smaller than the sum of its proper divisors (170432931567360).

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

63105034122240 is a wasteful number, since it uses less digits than its factorization.

63105034122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37698 (or 37680 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 63105034122240 its reverse (4222143050136), we get a palindrome (67327177172376).

The spelling of 63105034122240 in words is "sixty-three trillion, one hundred five billion, thirty-four million, one hundred twenty-two thousand, two hundred forty".