972333809664 has 256 divisors, whose sum is σ = 3023837328000. Its totient is φ = 277800026112.

The previous prime is 972333809663. The next prime is 972333809683. The reversal of 972333809664 is 466908333279.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 972333809598 and 972333809607.

It is not an unprimeable number, because it can be changed into a prime (972333809663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33703854 + ... + 33732690.

Almost surely, 2^972333809664 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 972333809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511918664000).

972333809664 is an abundant number, since it is smaller than the sum of its proper divisors (2051503518336).

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

972333809664 is an frugal number, since it uses more digits than its factorization.

972333809664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28891 (or 28849 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 60.

The spelling of 972333809664 in words is "nine hundred seventy-two billion, three hundred thirty-three million, eight hundred nine thousand, six hundred sixty-four".