63277436360064 has 256 divisors, whose sum is σ = 170729013312000. Its totient is φ = 20763378155520.

The previous prime is 63277436360057. The next prime is 63277436360069. The reversal of 63277436360064 is 46006363477236.

63277436360064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63277436360064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63277436359986 and 63277436360013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63277436360069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3373527774 + ... + 3373546530.

It is an arithmetic number, because the mean of its divisors is an integer number (666910208250).

Almost surely, 2^{63277436360064} is an apocalyptic number.

63277436360064 is a gapful number since it is divisible by the number (64) 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 63277436360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85364506656000).

63277436360064 is an abundant number, since it is smaller than the sum of its proper divisors (107451576951936).

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

63277436360064 is a wasteful number, since it uses less digits than its factorization.

63277436360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19441 (or 19429 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 57.

The spelling of 63277436360064 in words is "sixty-three trillion, two hundred seventy-seven billion, four hundred thirty-six million, three hundred sixty thousand, sixty-four".