267985428480 has 1120 divisors, whose sum is σ = 1198921046400. Its totient is φ = 55632199680.

The previous prime is 267985428457. The next prime is 267985428509. The reversal of 267985428480 is 84824589762.

267985428480 is a `hidden beast` number, since 2 + 6 + 7 + 9 + 8 + 542 + 8 + 4 + 80 = 666.

267985428480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×267985428480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255466996 + ... + 255468044.

It is an arithmetic number, because the mean of its divisors is an integer number (1070465220).

Almost surely, 2^267985428480 is an apocalyptic number.

267985428480 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 267985428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599460523200).

267985428480 is an abundant number, since it is smaller than the sum of its proper divisors (930935617920).

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

267985428480 is a wasteful number, since it uses less digits than its factorization.

267985428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 267985428480 in words is "two hundred sixty-seven billion, nine hundred eighty-five million, four hundred twenty-eight thousand, four hundred eighty".