972434626640 has 160 divisors (see below), whose sum is σ = 2317329181440. Its totient is φ = 379415089152.

The previous prime is 972434626621. The next prime is 972434626649. The reversal of 972434626640 is 46626434279.

It is a Cunningham number, because it is equal to 986121²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972434626649) 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 31 ways as a sum of consecutive naturals, for example, 203138327 + ... + 203143113.

It is an arithmetic number, because the mean of its divisors is an integer number (14483307384).

Almost surely, 2^972434626640 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 972434626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158664590720).

972434626640 is an abundant number, since it is smaller than the sum of its proper divisors (1344894554800).

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

972434626640 is a wasteful number, since it uses less digits than its factorization.

972434626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 53.

The spelling of 972434626640 in words is "nine hundred seventy-two billion, four hundred thirty-four million, six hundred twenty-six thousand, six hundred forty".