63367081440 has 192 divisors, whose sum is σ = 215151552000. Its totient is φ = 15584200704.

The previous prime is 63367081429. The next prime is 63367081541. The reversal of 63367081440 is 4418076336.

It is a happy number.

It is a super-3 number, since 3×63367081440³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63367081392 and 63367081401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8226711 + ... + 8234409.

It is an arithmetic number, because the mean of its divisors is an integer number (1120581000).

Almost surely, 2^63367081440 is an apocalyptic number.

63367081440 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 63367081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107575776000).

63367081440 is an abundant number, since it is smaller than the sum of its proper divisors (151784470560).

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

63367081440 is a wasteful number, since it uses less digits than its factorization.

63367081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 63367081440 in words is "sixty-three billion, three hundred sixty-seven million, eighty-one thousand, four hundred forty".