267472261001280 has 1792 divisors, whose sum is σ = 993965873725440. Its totient is φ = 60509572300800.

The previous prime is 267472261001213. The next prime is 267472261001303. The reversal of 267472261001280 is 82100162274762.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75535796310 + ... + 75535799850.

It is an arithmetic number, because the mean of its divisors is an integer number (554668456320).

Almost surely, 2^{267472261001280} is an apocalyptic number.

267472261001280 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 267472261001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496982936862720).

267472261001280 is an abundant number, since it is smaller than the sum of its proper divisors (726493612724160).

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

267472261001280 is a wasteful number, since it uses less digits than its factorization.

267472261001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 267472261001280 in words is "two hundred sixty-seven trillion, four hundred seventy-two billion, two hundred sixty-one million, one thousand, two hundred eighty".