10267448832 has 240 divisors, whose sum is σ = 30397683888. Its totient is φ = 3335454720.

The previous prime is 10267448819. The next prime is 10267448833. The reversal of 10267448832 is 23884476201.

It is a happy number.

10267448832 is a `hidden beast` number, since 102 + 67 + 4 + 488 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267448833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44066188 + ... + 44066420.

Almost surely, 2^10267448832 is an apocalyptic number.

10267448832 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 10267448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15198841944).

10267448832 is an abundant number, since it is smaller than the sum of its proper divisors (20130235056).

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

10267448832 is a wasteful number, since it uses less digits than its factorization.

10267448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10267448832 in words is "ten billion, two hundred sixty-seven million, four hundred forty-eight thousand, eight hundred thirty-two".