68064062800 has 120 divisors (see below), whose sum is σ = 176410746936. Its totient is φ = 25140510720.

The previous prime is 68064062791. The next prime is 68064062809. The reversal of 68064062800 is 826046086.

It is an interprime number because it is at equal distance from previous prime (68064062791) and next prime (68064062809).

It can be written as a sum of positive squares in 12 ways, for example, as 6110861584 + 61953201216 = 78172^2 + 248904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68064062809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265972 + ... + 454828.

Almost surely, 2^68064062800 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 68064062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88205373468).

68064062800 is an abundant number, since it is smaller than the sum of its proper divisors (108346684136).

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

68064062800 is a wasteful number, since it uses less digits than its factorization.

68064062800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188945 (or 188934 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 68064062800 in words is "sixty-eight billion, sixty-four million, sixty-two thousand, eight hundred".