68312595456 has 616 divisors, whose sum is σ = 248079696480. Its totient is φ = 18345885696.

The previous prime is 68312595451. The next prime is 68312595457. The reversal of 68312595456 is 65459521386.

68312595456 is a `hidden beast` number, since 6 + 8 + 3 + 1 + 2 + 595 + 45 + 6 = 666.

It is a super-2 number, since 2×68312595456² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68312595451) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 88832640 + ... + 88833408.

It is an arithmetic number, because the mean of its divisors is an integer number (402726780).

Almost surely, 2^68312595456 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 68312595456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124039848240).

68312595456 is an abundant number, since it is smaller than the sum of its proper divisors (179767101024).

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

68312595456 is an equidigital number, since it uses as much as digits as its factorization.

68312595456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 798 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 68312595456 in words is "sixty-eight billion, three hundred twelve million, five hundred ninety-five thousand, four hundred fifty-six".