973342363968 has 1344 divisors, whose sum is σ = 3534119424000. Its totient is φ = 261036711936.

The previous prime is 973342363967. The next prime is 973342364011. The reversal of 973342363968 is 869363243379.

973342363968 is a `hidden beast` number, since 9 + 7 + 3 + 3 + 4 + 236 + 396 + 8 = 666.

973342363968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973342363967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3700921405 + ... + 3700921667.

Almost surely, 2^973342363968 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 973342363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767059712000).

973342363968 is an abundant number, since it is smaller than the sum of its proper divisors (2560777060032).

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

973342363968 is a wasteful number, since it uses less digits than its factorization.

973342363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 352 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 973342363968 in words is "nine hundred seventy-three billion, three hundred forty-two million, three hundred sixty-three thousand, nine hundred sixty-eight".