68161274947584 has 864 divisors, whose sum is σ = 252026448710400. Its totient is φ = 17356556206080.

The previous prime is 68161274947531. The next prime is 68161274947627. The reversal of 68161274947584 is 48574947216186.

68161274947584 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 1 + 2 + 74 + 9 + 475 + 84 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 632292729 + ... + 632400519.

It is an arithmetic number, because the mean of its divisors is an integer number (291697278600).

Almost surely, 2^{68161274947584} is an apocalyptic number.

68161274947584 is a gapful number since it is divisible by the number (64) 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 68161274947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126013224355200).

68161274947584 is an abundant number, since it is smaller than the sum of its proper divisors (183865173762816).

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

68161274947584 is a wasteful number, since it uses less digits than its factorization.

68161274947584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107881 (or 107845 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 68161274947584 in words is "sixty-eight trillion, one hundred sixty-one billion, two hundred seventy-four million, nine hundred forty-seven thousand, five hundred eighty-four".