268904206456704 has 3840 divisors, whose sum is σ = 1078319205089280. Its totient is φ = 65781251407872.

The previous prime is 268904206456679. The next prime is 268904206456729. The reversal of 268904206456704 is 407654602409862.

It is a happy number.

268904206456704 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 0 + 4 + 2 + 0 + 64 + 567 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (268904206456679) and next prime (268904206456729).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1022449454077 + ... + 1022449454339.

It is an arithmetic number, because the mean of its divisors is an integer number (280812292992).

Almost surely, 2^{268904206456704} is an apocalyptic number.

268904206456704 is a gapful number since it is divisible by the number (24) 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 268904206456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539159602544640).

268904206456704 is an abundant number, since it is smaller than the sum of its proper divisors (809414998632576).

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

268904206456704 is a wasteful number, since it uses less digits than its factorization.

268904206456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 268904206456704 in words is "two hundred sixty-eight trillion, nine hundred four billion, two hundred six million, four hundred fifty-six thousand, seven hundred four".