10267112664 has 64 divisors (see below), whose sum is σ = 28611648000. Its totient is φ = 3411344160.

The previous prime is 10267112663. The next prime is 10267112677. The reversal of 10267112664 is 46621176201.

It is a super-4 number, since 4×10267112664⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267112663) 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, 9244 + ... + 143595.

It is an arithmetic number, because the mean of its divisors is an integer number (447057000).

Almost surely, 2^10267112664 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 10267112664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305824000).

10267112664 is an abundant number, since it is smaller than the sum of its proper divisors (18344535336).

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

10267112664 is a wasteful number, since it uses less digits than its factorization.

10267112664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153165 (or 153155 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10267112664 its reverse (46621176201), we get a palindrome (56888288865).

The spelling of 10267112664 in words is "ten billion, two hundred sixty-seven million, one hundred twelve thousand, six hundred sixty-four".