8031720752640 has 960 divisors, whose sum is σ = 31962690631872. Its totient is φ = 1846385049600.

The previous prime is 8031720752639. The next prime is 8031720752669. The reversal of 8031720752640 is 462570271308.

8031720752640 is a `hidden beast` number, since 8 + 0 + 317 + 2 + 0 + 75 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 667025020 + ... + 667037060.

Almost surely, 2^{8031720752640} is an apocalyptic number.

8031720752640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8031720752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981345315936).

8031720752640 is an abundant number, since it is smaller than the sum of its proper divisors (23930969879232).

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

8031720752640 is a wasteful number, since it uses less digits than its factorization.

8031720752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12231 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 8031720752640 in words is "eight trillion, thirty-one billion, seven hundred twenty million, seven hundred fifty-two thousand, six hundred forty".