63902097168 has 480 divisors, whose sum is σ = 225254332800. Its totient is φ = 15411658752.

The previous prime is 63902097167. The next prime is 63902097199. The reversal of 63902097168 is 86179020936.

63902097168 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-3 number, since 3×63902097168³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 63902097168.

It is not an unprimeable number, because it can be changed into a prime (63902097167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16845480 + ... + 16849272.

It is an arithmetic number, because the mean of its divisors is an integer number (469279860).

Almost surely, 2^63902097168 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 63902097168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112627166400).

63902097168 is an abundant number, since it is smaller than the sum of its proper divisors (161352235632).

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

63902097168 is a wasteful number, since it uses less digits than its factorization.

63902097168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 63902097168 in words is "sixty-three billion, nine hundred two million, ninety-seven thousand, one hundred sixty-eight".