63482119061760 has 3456 divisors, whose sum is σ = 284387914137600. Its totient is φ = 13519341158400.

The previous prime is 63482119061741. The next prime is 63482119061789. The reversal of 63482119061760 is 6716091128436.

63482119061760 is a `hidden beast` number, since 6 + 3 + 4 + 8 + 2 + 1 + 19 + 0 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 63482119061697 and 63482119061706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100605576645 + ... + 100605577275.

It is an arithmetic number, because the mean of its divisors is an integer number (82288169600).

Almost surely, 2^{63482119061760} is an apocalyptic number.

63482119061760 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 63482119061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142193957068800).

63482119061760 is an abundant number, since it is smaller than the sum of its proper divisors (220905795075840).

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

63482119061760 is an equidigital number, since it uses as much as digits as its factorization.

63482119061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 63482119061760 in words is "sixty-three trillion, four hundred eighty-two billion, one hundred nineteen million, sixty-one thousand, seven hundred sixty".