68813885435904 has 1248 divisors, whose sum is σ = 241542980974080. Its totient is φ = 19541593128960.

The previous prime is 68813885435881. The next prime is 68813885435947. The reversal of 68813885435904 is 40953458831886.

68813885435904 is a `hidden beast` number, since 6 + 8 + 81 + 38 + 85 + 435 + 9 + 0 + 4 = 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 95 ways as a sum of consecutive naturals, for example, 92616265357 + ... + 92616266099.

Almost surely, 2^{68813885435904} is an apocalyptic number.

68813885435904 is a gapful number since it is divisible by the number (64) 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 68813885435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120771490487040).

68813885435904 is an abundant number, since it is smaller than the sum of its proper divisors (172729095538176).

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

68813885435904 is an frugal number, since it uses more digits than its factorization.

68813885435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 68813885435904 in words is "sixty-eight trillion, eight hundred thirteen billion, eight hundred eighty-five million, four hundred thirty-five thousand, nine hundred four".