68036073600 has 576 divisors, whose sum is σ = 253135048320. Its totient is φ = 16037683200.

The previous prime is 68036073593. The next prime is 68036073607. The reversal of 68036073600 is 637063086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68036073593) and next prime (68036073607).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (68036073607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42978409 + ... + 42979991.

It is an arithmetic number, because the mean of its divisors is an integer number (439470570).

Almost surely, 2^68036073600 is an apocalyptic number.

68036073600 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 68036073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126567524160).

68036073600 is an abundant number, since it is smaller than the sum of its proper divisors (185098974720).

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

68036073600 is a wasteful number, since it uses less digits than its factorization.

68036073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 68036073600 in words is "sixty-eight billion, thirty-six million, seventy-three thousand, six hundred".