973268400384 has 540 divisors, whose sum is σ = 3522788083584. Its totient is φ = 265980008448.

The previous prime is 973268400343. The next prime is 973268400389. The reversal of 973268400384 is 483004862379.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 973268400384.

It is not an unprimeable number, because it can be changed into a prime (973268400389) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23348649 + ... + 23390295.

Almost surely, 2^973268400384 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 973268400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761394041792).

973268400384 is an abundant number, since it is smaller than the sum of its proper divisors (2549519683200).

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

973268400384 is a wasteful number, since it uses less digits than its factorization.

973268400384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41712 (or 41682 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 973268400384 in words is "nine hundred seventy-three billion, two hundred sixty-eight million, four hundred thousand, three hundred eighty-four".