63165714872064 has 864 divisors, whose sum is σ = 215339584803840. Its totient is φ = 16043919409152.

The previous prime is 63165714872063. The next prime is 63165714872069. The reversal of 63165714872064 is 46027841756136.

It is a junction number, because it is equal to n+sod(n) for n = 63165714871989 and 63165714872007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63165714872063) 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, 11844309142 + ... + 11844314474.

It is an arithmetic number, because the mean of its divisors is an integer number (249235630560).

Almost surely, 2^{63165714872064} is an apocalyptic number.

63165714872064 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 63165714872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107669792401920).

63165714872064 is an abundant number, since it is smaller than the sum of its proper divisors (152173869931776).

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

63165714872064 is a wasteful number, since it uses less digits than its factorization.

63165714872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 63165714872064 in words is "sixty-three trillion, one hundred sixty-five billion, seven hundred fourteen million, eight hundred seventy-two thousand, sixty-four".