63962838516640 has 288 divisors, whose sum is σ = 180265603218624. Its totient is φ = 21373190737920.

The previous prime is 63962838516637. The next prime is 63962838516737. The reversal of 63962838516640 is 4661583826936.

It is a super-2 number, since 2×63962838516640² (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 153856255 + ... + 154271425.

It is an arithmetic number, because the mean of its divisors is an integer number (625922233398).

Almost surely, 2^{63962838516640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63962838516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90132801609312).

63962838516640 is an abundant number, since it is smaller than the sum of its proper divisors (116302764701984).

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

63962838516640 is a wasteful number, since it uses less digits than its factorization.

63962838516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415700 (or 415685 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 67.

The spelling of 63962838516640 in words is "sixty-three trillion, nine hundred sixty-two billion, eight hundred thirty-eight million, five hundred sixteen thousand, six hundred forty".