68131282464 has 432 divisors, whose sum is σ = 235376432928. Its totient is φ = 19329020928.

The previous prime is 68131282459. The next prime is 68131282469. The reversal of 68131282464 is 46428213186.

68131282464 is a `hidden beast` number, since 6 + 81 + 31 + 2 + 82 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (68131282459) and next prime (68131282469).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×68131282464² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68131282469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62106364 + ... + 62107460.

It is an arithmetic number, because the mean of its divisors is an integer number (544852854).

Almost surely, 2^68131282464 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 68131282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117688216464).

68131282464 is an abundant number, since it is smaller than the sum of its proper divisors (167245150464).

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

68131282464 is a wasteful number, since it uses less digits than its factorization.

68131282464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1272 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 68131282464 in words is "sixty-eight billion, one hundred thirty-one million, two hundred eighty-two thousand, four hundred sixty-four".