268081692480 has 672 divisors, whose sum is σ = 1106692614144. Its totient is φ = 58235645952.

The previous prime is 268081692469. The next prime is 268081692481. The reversal of 268081692480 is 84296180862.

268081692480 is a `hidden beast` number, since 2 + 6 + 80 + 81 + 6 + 9 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×268081692480³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268081692481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75578067 + ... + 75581613.

Almost surely, 2^268081692480 is an apocalyptic number.

268081692480 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 268081692480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553346307072).

268081692480 is an abundant number, since it is smaller than the sum of its proper divisors (838610921664).

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

268081692480 is a wasteful number, since it uses less digits than its factorization.

268081692480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 268081692480 in words is "two hundred sixty-eight billion, eighty-one million, six hundred ninety-two thousand, four hundred eighty".