7817214045696 has 640 divisors, whose sum is σ = 24606996480000. Its totient is φ = 2180330127360.

The previous prime is 7817214045689. The next prime is 7817214045709. The reversal of 7817214045696 is 6965404127187.

It is a super-3 number, since 3×7817214045696³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 3910561305 + ... + 3910563303.

It is an arithmetic number, because the mean of its divisors is an integer number (38448432000).

Almost surely, 2^{7817214045696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7817214045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303498240000).

7817214045696 is an abundant number, since it is smaller than the sum of its proper divisors (16789782434304).

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

7817214045696 is a wasteful number, since it uses less digits than its factorization.

7817214045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 7817214045696 in words is "seven trillion, eight hundred seventeen billion, two hundred fourteen million, forty-five thousand, six hundred ninety-six".