10642634002632 has 128 divisors (see below), whose sum is σ = 27267012115200. Its totient is φ = 3460297171968.

The previous prime is 10642634002631. The next prime is 10642634002633. The reversal of 10642634002632 is 23620043624601.

It is an interprime number because it is at equal distance from previous prime (10642634002631) and next prime (10642634002633).

It is a super-2 number, since 2×10642634002632² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642634002631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342532794 + ... + 342563862.

It is an arithmetic number, because the mean of its divisors is an integer number (213023532150).

Almost surely, 2^{10642634002632} is an apocalyptic number.

10642634002632 is a gapful number since it is divisible by the number (12) 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 10642634002632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13633506057600).

10642634002632 is an abundant number, since it is smaller than the sum of its proper divisors (16624378112568).

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

10642634002632 is a wasteful number, since it uses less digits than its factorization.

10642634002632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32695 (or 32691 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 10642634002632 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-four million, two thousand, six hundred thirty-two".