68436275347440 has 1200 divisors, whose sum is σ = 324834375206880. Its totient is φ = 13126629519360.

The previous prime is 68436275347423. The next prime is 68436275347463. The reversal of 68436275347440 is 4474357263486.

68436275347440 is a `hidden beast` number, since 6 + 8 + 4 + 3 + 6 + 27 + 534 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44651746 + ... + 46158974.

Almost surely, 2^{68436275347440} is an apocalyptic number.

68436275347440 is a gapful number since it is divisible by the number (60) 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 68436275347440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162417187603440).

68436275347440 is an abundant number, since it is smaller than the sum of its proper divisors (256398099859440).

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

68436275347440 is a wasteful number, since it uses less digits than its factorization.

68436275347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507292 (or 1507270 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 63.

The spelling of 68436275347440 in words is "sixty-eight trillion, four hundred thirty-six billion, two hundred seventy-five million, three hundred forty-seven thousand, four hundred forty".