8721672563520 has 2688 divisors, whose sum is σ = 40068803174400. Its totient is φ = 1757765173248.

The previous prime is 8721672563467. The next prime is 8721672563557. The reversal of 8721672563520 is 253652761278.

8721672563520 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 6 + 72 + 563 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19867135461 + ... + 19867135899.

It is an arithmetic number, because the mean of its divisors is an integer number (14906548800).

Almost surely, 2^{8721672563520} is an apocalyptic number.

8721672563520 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 8721672563520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034401587200).

8721672563520 is an abundant number, since it is smaller than the sum of its proper divisors (31347130610880).

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

8721672563520 is a wasteful number, since it uses less digits than its factorization.

8721672563520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 8721672563520 in words is "eight trillion, seven hundred twenty-one billion, six hundred seventy-two million, five hundred sixty-three thousand, five hundred twenty".