68909400000 has 672 divisors, whose sum is σ = 289541468160. Its totient is φ = 15742080000.

The previous prime is 68909399983. The next prime is 68909400019. The reversal of 68909400000 is 490986.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37799089 + ... + 37800911.

It is an arithmetic number, because the mean of its divisors is an integer number (430865280).

Almost surely, 2^68909400000 is an apocalyptic number.

68909400000 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 68909400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144770734080).

68909400000 is an abundant number, since it is smaller than the sum of its proper divisors (220632068160).

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

68909400000 is an equidigital number, since it uses as much as digits as its factorization.

68909400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 68909400000 its sum of digits (36), we get a square (68909400036 = 262506²).

Adding to 68909400000 its reverse (490986), we get a palindrome (68909890986).

The spelling of 68909400000 in words is "sixty-eight billion, nine hundred nine million, four hundred thousand".