68638011945984 has 704 divisors, whose sum is σ = 220952684789760. Its totient is φ = 20922789888000.

The previous prime is 68638011945961. The next prime is 68638011945989. The reversal of 68638011945984 is 48954911083686.

68638011945984 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 80 + 1 + 19 + 459 + 84 = 666.

It is a super-2 number, since 2×68638011945984² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68638011945989) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 46660782369 + ... + 46660783839.

It is an arithmetic number, because the mean of its divisors is an integer number (313853245440).

Almost surely, 2^{68638011945984} is an apocalyptic number.

68638011945984 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 68638011945984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110476342394880).

68638011945984 is an abundant number, since it is smaller than the sum of its proper divisors (152314672843776).

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

68638011945984 is a wasteful number, since it uses less digits than its factorization.

68638011945984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 68638011945984 in words is "sixty-eight trillion, six hundred thirty-eight billion, eleven million, nine hundred forty-five thousand, nine hundred eighty-four".