10005631768 has 64 divisors (see below), whose sum is σ = 20730528000. Its totient is φ = 4489534080.

The previous prime is 10005631763. The next prime is 10005631807. The reversal of 10005631768 is 86713650001.

It is a super-2 number, since 2×10005631768² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005631763) 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, 3161755 + ... + 3164917.

It is an arithmetic number, because the mean of its divisors is an integer number (323914500).

Almost surely, 2^10005631768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005631768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10365264000).

10005631768 is an abundant number, since it is smaller than the sum of its proper divisors (10724896232).

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

10005631768 is a wasteful number, since it uses less digits than its factorization.

10005631768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 10005631768 in words is "ten billion, five million, six hundred thirty-one thousand, seven hundred sixty-eight".