10642633104664 has 64 divisors (see below), whose sum is σ = 22988442297600. Its totient is φ = 4568215651200.

The previous prime is 10642633104659. The next prime is 10642633104679. The reversal of 10642633104664 is 46640133624601.

It is a super-3 number, since 3×10642633104664³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9713467 + ... + 10753450.

It is an arithmetic number, because the mean of its divisors is an integer number (359194410900).

Almost surely, 2^{10642633104664} is an apocalyptic number.

It is an amenable number.

10642633104664 is an abundant number, since it is smaller than the sum of its proper divisors (12345809192936).

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

10642633104664 is a wasteful number, since it uses less digits than its factorization.

10642633104664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467264 (or 20467260 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 10642633104664 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, one hundred four thousand, six hundred sixty-four".