8213463797760 has 832 divisors, whose sum is σ = 33296265596160. Its totient is φ = 1902819409920.

The previous prime is 8213463797687. The next prime is 8213463797797. The reversal of 8213463797760 is 677973643128.

8213463797760 is a `hidden beast` number, since 8 + 2 + 13 + 463 + 7 + 97 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×8213463797760² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122170555 + ... + 122237765.

Almost surely, 2^{8213463797760} is an apocalyptic number.

8213463797760 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 8213463797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16648132798080).

8213463797760 is an abundant number, since it is smaller than the sum of its proper divisors (25082801798400).

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

8213463797760 is a wasteful number, since it uses less digits than its factorization.

8213463797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67279 (or 67251 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 8213463797760 in words is "eight trillion, two hundred thirteen billion, four hundred sixty-three million, seven hundred ninety-seven thousand, seven hundred sixty".