68069672165376 has 896 divisors, whose sum is σ = 240864512163840. Its totient is φ = 18575301279744.

The previous prime is 68069672165281. The next prime is 68069672165387. The reversal of 68069672165376 is 67356127696086.

68069672165376 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 9 + 6 + 72 + 16 + 537 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39278517406 + ... + 39278519138.

Almost surely, 2^{68069672165376} 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 68069672165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120432256081920).

68069672165376 is an abundant number, since it is smaller than the sum of its proper divisors (172794839998464).

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

68069672165376 is a wasteful number, since it uses less digits than its factorization.

68069672165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 68069672165376 in words is "sixty-eight trillion, sixty-nine billion, six hundred seventy-two million, one hundred sixty-five thousand, three hundred seventy-six".