68361331600 has 135 divisors (see below), whose sum is σ = 174694632537. Its totient is φ = 25702563840.

The previous prime is 68361331537. The next prime is 68361331603. The reversal of 68361331600 is 613316386.

The square root of 68361331600 is 261460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31183321744 + 37178009856 = 176588^2 + 192816^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 68361331600.

It is not an unprimeable number, because it can be changed into a prime (68361331603) 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 26 ways as a sum of consecutive naturals, for example, 88896016 + ... + 88896784.

Almost surely, 2^68361331600 is an apocalyptic number.

68361331600 is the 261460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68361331600

68361331600 is an abundant number, since it is smaller than the sum of its proper divisors (106333300937).

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

68361331600 is an equidigital number, since it uses as much as digits as its factorization.

68361331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

Adding to 68361331600 its reverse (613316386), we get a palindrome (68974647986).

The spelling of 68361331600 in words is "sixty-eight billion, three hundred sixty-one million, three hundred thirty-one thousand, six hundred".