9971956840 has 32 divisors (see below), whose sum is σ = 22454265960. Its totient is φ = 3985696000.

The previous prime is 9971956829. The next prime is 9971956847. The reversal of 9971956840 is 486591799.

It can be written as a sum of positive squares in 4 ways, for example, as 1210622436 + 8761334404 = 34794^2 + 93602^2 .

It is not an unprimeable number, because it can be changed into a prime (9971956847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43771 + ... + 147850.

Almost surely, 2^9971956840 is an apocalyptic number.

It is an amenable number.

9971956840 is an abundant number, since it is smaller than the sum of its proper divisors (12482309120).

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

9971956840 is a wasteful number, since it uses less digits than its factorization.

9971956840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192933 (or 192929 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 58.

The square root of 9971956840 is about 99859.6857595697. The cubic root of 9971956840 is about 2152.4188993272.

The spelling of 9971956840 in words is "nine billion, nine hundred seventy-one million, nine hundred fifty-six thousand, eight hundred forty".