267280728064 has 135 divisors (see below), whose sum is σ = 622897360533. Its totient is φ = 114350358528.

The previous prime is 267280728061. The next prime is 267280728067. The reversal of 267280728064 is 460827082762.

It is a happy number.

The square root of 267280728064 is 516992.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (267280728061) and next prime (267280728067).

It can be written as a sum of positive squares in only one way, i.e., 265431040000 + 1849688064 = 515200^2 + 43008^2 .

It is not an unprimeable number, because it can be changed into a prime (267280728061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 463224544 + ... + 463225120.

Almost surely, 2^267280728064 is an apocalyptic number.

267280728064 is the 516992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267280728064

267280728064 is an abundant number, since it is smaller than the sum of its proper divisors (355616632469).

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

267280728064 is an frugal number, since it uses more digits than its factorization.

267280728064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 267280728064 in words is "two hundred sixty-seven billion, two hundred eighty million, seven hundred twenty-eight thousand, sixty-four".