68508584790912 has 1536 divisors, whose sum is σ = 249071760000000. Its totient is φ = 18447309619200.

The previous prime is 68508584790871. The next prime is 68508584790929. The reversal of 68508584790912 is 21909748580586.

68508584790912 is a `hidden beast` number, since 68 + 5 + 0 + 8 + 5 + 8 + 479 + 0 + 91 + 2 = 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 191 ways as a sum of consecutive naturals, for example, 137291752839 + ... + 137291753337.

It is an arithmetic number, because the mean of its divisors is an integer number (162156093750).

Almost surely, 2^{68508584790912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68508584790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124535880000000).

68508584790912 is an abundant number, since it is smaller than the sum of its proper divisors (180563175209088).

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

68508584790912 is a wasteful number, since it uses less digits than its factorization.

68508584790912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 68508584790912 in words is "sixty-eight trillion, five hundred eight billion, five hundred eighty-four million, seven hundred ninety thousand, nine hundred twelve".