8972275668480 has 640 divisors, whose sum is σ = 32644150640640. Its totient is φ = 2334990827520.

The previous prime is 8972275668431. The next prime is 8972275668493. The reversal of 8972275668480 is 848665722798.

8972275668480 is a `hidden beast` number, since 8 + 9 + 72 + 2 + 75 + 6 + 6 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8972275668399 and 8972275668408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 699695349 + ... + 699708171.

It is an arithmetic number, because the mean of its divisors is an integer number (51006485376).

Almost surely, 2^{8972275668480} is an apocalyptic number.

8972275668480 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 8972275668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322075320320).

8972275668480 is an abundant number, since it is smaller than the sum of its proper divisors (23671874972160).

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

8972275668480 is a wasteful number, since it uses less digits than its factorization.

8972275668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13099 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 8972275668480 in words is "eight trillion, nine hundred seventy-two billion, two hundred seventy-five million, six hundred sixty-eight thousand, four hundred eighty".