267653047680 has 512 divisors, whose sum is σ = 994679193600. Its totient is φ = 67931136000.

The previous prime is 267653047663. The next prime is 267653047699. The reversal of 267653047680 is 86740356762.

267653047680 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 530 + 47 + 68 + 0 = 666.

267653047680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32672385 + ... + 32680575.

It is an arithmetic number, because the mean of its divisors is an integer number (1942732800).

Almost surely, 2^267653047680 is an apocalyptic number.

267653047680 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 267653047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497339596800).

267653047680 is an abundant number, since it is smaller than the sum of its proper divisors (727026145920).

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

267653047680 is a wasteful number, since it uses less digits than its factorization.

267653047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 267653047680 in words is "two hundred sixty-seven billion, six hundred fifty-three million, forty-seven thousand, six hundred eighty".