268661546496 has 720 divisors, whose sum is σ = 945455486976. Its totient is φ = 75936559104.

The previous prime is 268661546317. The next prime is 268661546497. The reversal of 268661546496 is 694645166862.

268661546496 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 615 + 4 + 6 + 4 + 9 + 6 = 666.

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

Its product of digits (89579520) is a multiple of the sum of its prime divisors (486).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268661546497) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 774240595 + ... + 774240941.

Almost surely, 2^268661546496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268661546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472727743488).

268661546496 is an abundant number, since it is smaller than the sum of its proper divisors (676793940480).

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

268661546496 is an equidigital number, since it uses as much as digits as its factorization.

268661546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 486 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 268661546496 in words is "two hundred sixty-eight billion, six hundred sixty-one million, five hundred forty-six thousand, four hundred ninety-six".