68153320400 has 120 divisors (see below), whose sum is σ = 178720445088. Its totient is φ = 24769600000.

The previous prime is 68153320373. The next prime is 68153320427. The reversal of 68153320400 is 402335186.

68153320400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (68153320373) and next prime (68153320427).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12057575 + ... + 12063225.

Almost surely, 2^68153320400 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 68153320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89360222544).

68153320400 is an abundant number, since it is smaller than the sum of its proper divisors (110567124688).

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

68153320400 is a wasteful number, since it uses less digits than its factorization.

68153320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8421 (or 8410 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 68153320400 its reverse (402335186), we get a palindrome (68555655586).

The spelling of 68153320400 in words is "sixty-eight billion, one hundred fifty-three million, three hundred twenty thousand, four hundred".