10643630152064 has 256 divisors, whose sum is σ = 26492502986880. Its totient is φ = 4147077906432.

The previous prime is 10643630152031. The next prime is 10643630152087. The reversal of 10643630152064 is 46025103634601.

It is a super-2 number, since 2×10643630152064² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623264294 + ... + 623281370.

Almost surely, 2^{10643630152064} is an apocalyptic number.

10643630152064 is a gapful number since it is divisible by the number (14) 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 10643630152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13246251493440).

10643630152064 is an abundant number, since it is smaller than the sum of its proper divisors (15848872834816).

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

10643630152064 is a wasteful number, since it uses less digits than its factorization.

10643630152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17917 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

Adding to 10643630152064 its reverse (46025103634601), we get a palindrome (56668733786665).

The spelling of 10643630152064 in words is "ten trillion, six hundred forty-three billion, six hundred thirty million, one hundred fifty-two thousand, sixty-four".