971373247680 has 336 divisors, whose sum is σ = 3401139329280. Its totient is φ = 234708756480.

The previous prime is 971373247667. The next prime is 971373247697. The reversal of 971373247680 is 86742373179.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 971373247680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35647501 + ... + 35674739.

It is an arithmetic number, because the mean of its divisors is an integer number (10122438480).

Almost surely, 2^971373247680 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 971373247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700569664640).

971373247680 is an abundant number, since it is smaller than the sum of its proper divisors (2429766081600).

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

971373247680 is a wasteful number, since it uses less digits than its factorization.

971373247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27588 (or 27567 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 971373247680 in words is "nine hundred seventy-one billion, three hundred seventy-three million, two hundred forty-seven thousand, six hundred eighty".