10642633033532 has 48 divisors (see below), whose sum is σ = 19598993124480. Its totient is φ = 5050061452800.

The previous prime is 10642633033531. The next prime is 10642633033553. The reversal of 10642633033532 is 23533033624601.

It is a happy number.

It is a super-3 number, since 3×10642633033532³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 10642633033532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642633033531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26628269 + ... + 27024987.

It is an arithmetic number, because the mean of its divisors is an integer number (408312356760).

Almost surely, 2^{10642633033532} is an apocalyptic number.

It is an amenable number.

10642633033532 is a deficient number, since it is larger than the sum of its proper divisors (8956360090948).

10642633033532 is a wasteful number, since it uses less digits than its factorization.

10642633033532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401222 (or 401220 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 41.

The spelling of 10642633033532 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, thirty-three thousand, five hundred thirty-two".