968242311360 has 336 divisors, whose sum is σ = 3548741448096. Its totient is φ = 241460084736.

The previous prime is 968242311359. The next prime is 968242311367. The reversal of 968242311360 is 63113242869.

968242311360 is a `hidden beast` number, since 9 + 68 + 242 + 311 + 36 + 0 = 666.

968242311360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (968242311367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7623739 + ... + 7749701.

Almost surely, 2^968242311360 is an apocalyptic number.

968242311360 is a gapful number since it is divisible by the number (90) 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 968242311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774370724048).

968242311360 is an abundant number, since it is smaller than the sum of its proper divisors (2580499136736).

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

968242311360 is a wasteful number, since it uses less digits than its factorization.

968242311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126160 (or 126147 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 968242311360 in words is "nine hundred sixty-eight billion, two hundred forty-two million, three hundred eleven thousand, three hundred sixty".