8746216980480 has 1280 divisors, whose sum is σ = 36077690880000. Its totient is φ = 1969125064704.

The previous prime is 8746216980463. The next prime is 8746216980491. The reversal of 8746216980480 is 840896126478.

8746216980480 is a `hidden beast` number, since 8 + 7 + 4 + 62 + 1 + 6 + 98 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×8746216980480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 62922424251 + ... + 62922424389.

It is an arithmetic number, because the mean of its divisors is an integer number (28185696000).

Almost surely, 2^{8746216980480} is an apocalyptic number.

8746216980480 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 8746216980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18038845440000).

8746216980480 is an abundant number, since it is smaller than the sum of its proper divisors (27331473899520).

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

8746216980480 is an equidigital number, since it uses as much as digits as its factorization.

8746216980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 8746216980480 in words is "eight trillion, seven hundred forty-six billion, two hundred sixteen million, nine hundred eighty thousand, four hundred eighty".