63260032112640 has 1536 divisors, whose sum is σ = 249567671808000. Its totient is φ = 15071654707200.

The previous prime is 63260032112621. The next prime is 63260032112647. The reversal of 63260032112640 is 4621123006236.

63260032112640 is a `hidden beast` number, since 6 + 3 + 2 + 6 + 0 + 0 + 3 + 2 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63260032112595 and 63260032112604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63260032112647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67513374252 + ... + 67513375188.

It is an arithmetic number, because the mean of its divisors is an integer number (162478953000).

Almost surely, 2^{63260032112640} is an apocalyptic number.

63260032112640 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 63260032112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124783835904000).

63260032112640 is an abundant number, since it is smaller than the sum of its proper divisors (186307639695360).

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

63260032112640 is a wasteful number, since it uses less digits than its factorization.

63260032112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 63260032112640 its reverse (4621123006236), we get a palindrome (67881155118876).

The spelling of 63260032112640 in words is "sixty-three trillion, two hundred sixty billion, thirty-two million, one hundred twelve thousand, six hundred forty".