268371559645704 has 384 divisors, whose sum is σ = 794256503040000. Its totient is φ = 81642912519168.

The previous prime is 268371559645703. The next prime is 268371559645723. The reversal of 268371559645704 is 407546955173862.

268371559645704 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 7 + 1 + 559 + 64 + 5 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (268371559645703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525758397 + ... + 526268595.

It is an arithmetic number, because the mean of its divisors is an integer number (2068376310000).

It is a 3-persistent number, because k⋅268371559645704 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{268371559645704} is an apocalyptic number.

268371559645704 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 268371559645704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397128251520000).

268371559645704 is an abundant number, since it is smaller than the sum of its proper divisors (525884943394296).

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

268371559645704 is a wasteful number, since it uses less digits than its factorization.

268371559645704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510449 (or 510442 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 268371559645704 in words is "two hundred sixty-eight trillion, three hundred seventy-one billion, five hundred fifty-nine million, six hundred forty-five thousand, seven hundred four".