68392645263360 has 2048 divisors, whose sum is σ = 282277720627200. Its totient is φ = 15546439434240.

The previous prime is 68392645263353. The next prime is 68392645263373. The reversal of 68392645263360 is 6336254629386.

It is a happy number.

68392645263360 is a `hidden beast` number, since 6 + 8 + 3 + 9 + 2 + 6 + 4 + 5 + 263 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a super-3 number, since 3×68392645263360³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59317124544 + ... + 59317125696.

It is an arithmetic number, because the mean of its divisors is an integer number (137830918275).

Almost surely, 2^{68392645263360} is an apocalyptic number.

68392645263360 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 68392645263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141138860313600).

68392645263360 is an abundant number, since it is smaller than the sum of its proper divisors (213885075363840).

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

68392645263360 is a wasteful number, since it uses less digits than its factorization.

68392645263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 68392645263360 in words is "sixty-eight trillion, three hundred ninety-two billion, six hundred forty-five million, two hundred sixty-three thousand, three hundred sixty".