267761660672 has 144 divisors (see below), whose sum is σ = 588454191360. Its totient is φ = 120590438400.

The previous prime is 267761660671. The next prime is 267761660693. The reversal of 267761660672 is 276066167762.

267761660672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (267761660671) 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, 174892547 + ... + 174894077.

It is an arithmetic number, because the mean of its divisors is an integer number (4086487440).

Almost surely, 2^267761660672 is an apocalyptic number.

267761660672 is a gapful number since it is divisible by the number (22) 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 267761660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294227095680).

267761660672 is an abundant number, since it is smaller than the sum of its proper divisors (320692530688).

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

267761660672 is a wasteful number, since it uses less digits than its factorization.

267761660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 56.

The spelling of 267761660672 in words is "two hundred sixty-seven billion, seven hundred sixty-one million, six hundred sixty thousand, six hundred seventy-two".