8210974786560 has 1408 divisors, whose sum is σ = 36077716684800. Its totient is φ = 1724545105920.

The previous prime is 8210974786543. The next prime is 8210974786589. The reversal of 8210974786560 is 656874790128.

8210974786560 is a `hidden beast` number, since 8 + 2 + 10 + 97 + 478 + 6 + 5 + 60 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3006580395 + ... + 3006583125.

Almost surely, 2^{8210974786560} is an apocalyptic number.

8210974786560 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 8210974786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18038858342400).

8210974786560 is an abundant number, since it is smaller than the sum of its proper divisors (27866741898240).

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

8210974786560 is a wasteful number, since it uses less digits than its factorization.

8210974786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 8210974786560 in words is "eight trillion, two hundred ten billion, nine hundred seventy-four million, seven hundred eighty-six thousand, five hundred sixty".