68936664867840 has 4224 divisors, whose sum is σ = 328822240481280. Its totient is φ = 13527224156160.

The previous prime is 68936664867751. The next prime is 68936664867841. The reversal of 68936664867840 is 4876846663986.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 68936664867840.

It is not an unprimeable number, because it can be changed into a prime (68936664867841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 220244935524 + ... + 220244935836.

Almost surely, 2^{68936664867840} is an apocalyptic number.

68936664867840 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 68936664867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164411120240640).

68936664867840 is an abundant number, since it is smaller than the sum of its proper divisors (259885575613440).

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

68936664867840 is a wasteful number, since it uses less digits than its factorization.

68936664867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 12039487488, while the sum is 81.

The spelling of 68936664867840 in words is "sixty-eight trillion, nine hundred thirty-six billion, six hundred sixty-four million, eight hundred sixty-seven thousand, eight hundred forty".