267472838080 has 224 divisors, whose sum is σ = 747314979840. Its totient is φ = 89274286080.

The previous prime is 267472838071. The next prime is 267472838089. The reversal of 267472838080 is 80838274762.

It is an interprime number because it is at equal distance from previous prime (267472838071) and next prime (267472838089).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×267472838080² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267472838089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29951056 + ... + 29959984.

Almost surely, 2^267472838080 is an apocalyptic number.

267472838080 is a gapful number since it is divisible by the number (20) 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 267472838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373657489920).

267472838080 is an abundant number, since it is smaller than the sum of its proper divisors (479842141760).

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

267472838080 is a wasteful number, since it uses less digits than its factorization.

267472838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 267472838080 in words is "two hundred sixty-seven billion, four hundred seventy-two million, eight hundred thirty-eight thousand, eighty".