68416285392 has 640 divisors, whose sum is σ = 267102904320. Its totient is φ = 16240435200.

The previous prime is 68416285373. The next prime is 68416285403. The reversal of 68416285392 is 29358261486.

68416285392 is a `hidden beast` number, since 6 + 8 + 4 + 1 + 628 + 5 + 3 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15368767 + ... + 15373217.

It is an arithmetic number, because the mean of its divisors is an integer number (417348288).

Almost surely, 2^68416285392 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 68416285392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133551452160).

68416285392 is an abundant number, since it is smaller than the sum of its proper divisors (198686618928).

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

68416285392 is a wasteful number, since it uses less digits than its factorization.

68416285392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4516 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 68416285392 in words is "sixty-eight billion, four hundred sixteen million, two hundred eighty-five thousand, three hundred ninety-two".