68641633593792 has 2240 divisors, whose sum is σ = 273236098037760. Its totient is φ = 16554295296000.

The previous prime is 68641633593781. The next prime is 68641633593821. The reversal of 68641633593792 is 29739533614686.

68641633593792 is a `hidden beast` number, since 6 + 8 + 6 + 416 + 3 + 35 + 93 + 7 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68641633593792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 27227937492 + ... + 27227940012.

Almost surely, 2^{68641633593792} 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 68641633593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136618049018880).

68641633593792 is an abundant number, since it is smaller than the sum of its proper divisors (204594464443968).

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

68641633593792 is a wasteful number, since it uses less digits than its factorization.

68641633593792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2693 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 68641633593792 in words is "sixty-eight trillion, six hundred forty-one billion, six hundred thirty-three million, five hundred ninety-three thousand, seven hundred ninety-two".