268678428480 has 2688 divisors, whose sum is σ = 1336539709440. Its totient is φ = 48173875200.

The previous prime is 268678428427. The next prime is 268678428481. The reversal of 268678428480 is 84824876862.

268678428480 is a `hidden beast` number, since 2 + 6 + 86 + 78 + 4 + 2 + 8 + 480 = 666.

268678428480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268678428480² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268678428481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8667046065 + ... + 8667046095.

Almost surely, 2^268678428480 is an apocalyptic number.

268678428480 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 268678428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668269854720).

268678428480 is an abundant number, since it is smaller than the sum of its proper divisors (1067861280960).

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

268678428480 is a wasteful number, since it uses less digits than its factorization.

268678428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 268678428480 in words is "two hundred sixty-eight billion, six hundred seventy-eight million, four hundred twenty-eight thousand, four hundred eighty".