8214960798720 has 2464 divisors, whose sum is σ = 35236337980032. Its totient is φ = 1816242683904.

The previous prime is 8214960798719. The next prime is 8214960798757. The reversal of 8214960798720 is 278970694128.

8214960798720 is a `hidden beast` number, since 8 + 2 + 1 + 496 + 0 + 79 + 8 + 72 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18972195624 + ... + 18972196056.

Almost surely, 2^{8214960798720} is an apocalyptic number.

8214960798720 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 8214960798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17618168990016).

8214960798720 is an abundant number, since it is smaller than the sum of its proper divisors (27021377181312).

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

8214960798720 is a wasteful number, since it uses less digits than its factorization.

8214960798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 8214960798720 in words is "eight trillion, two hundred fourteen billion, nine hundred sixty million, seven hundred ninety-eight thousand, seven hundred twenty".