68261388759360 has 560 divisors, whose sum is σ = 256764153203712. Its totient is φ = 17186179276800.

The previous prime is 68261388759349. The next prime is 68261388759449. The reversal of 68261388759360 is 6395788316286.

It is a happy number.

68261388759360 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 138 + 87 + 59 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31908309 + ... + 33980331.

Almost surely, 2^{68261388759360} is an apocalyptic number.

68261388759360 is a gapful number since it is divisible by the number (60) 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 68261388759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128382076601856).

68261388759360 is an abundant number, since it is smaller than the sum of its proper divisors (188502764444352).

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

68261388759360 is a wasteful number, since it uses less digits than its factorization.

68261388759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072124 (or 2072105 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 68261388759360 in words is "sixty-eight trillion, two hundred sixty-one billion, three hundred eighty-eight million, seven hundred fifty-nine thousand, three hundred sixty".