971735668032 has 224 divisors, whose sum is σ = 2861823283200. Its totient is φ = 289720627200.

The previous prime is 971735668021. The next prime is 971735668039. The reversal of 971735668032 is 230866537179.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971735668039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531819 + ... + 4741397.

It is an arithmetic number, because the mean of its divisors is an integer number (12775996800).

Almost surely, 2^971735668032 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 971735668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430911641600).

971735668032 is an abundant number, since it is smaller than the sum of its proper divisors (1890087615168).

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

971735668032 is a wasteful number, since it uses less digits than its factorization.

971735668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209685 (or 209675 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 971735668032 in words is "nine hundred seventy-one billion, seven hundred thirty-five million, six hundred sixty-eight thousand, thirty-two".