268448760023472 has 840 divisors, whose sum is σ = 936980444949120. Its totient is φ = 74179703162880.

The previous prime is 268448760023471. The next prime is 268448760023497. The reversal of 268448760023472 is 274320067844862.

It is a happy number.

268448760023472 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 4 + 87 + 60 + 0 + 23 + 472 = 666.

268448760023472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (268448760023471) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 37012096198 + ... + 37012103450.

Almost surely, 2^{268448760023472} 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 268448760023472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468490222474560).

268448760023472 is an abundant number, since it is smaller than the sum of its proper divisors (668531684925648).

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

268448760023472 is a wasteful number, since it uses less digits than its factorization.

268448760023472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 268448760023472 in words is "two hundred sixty-eight trillion, four hundred forty-eight billion, seven hundred sixty million, twenty-three thousand, four hundred seventy-two".