8226519272640 has 672 divisors, whose sum is σ = 31577069322240. Its totient is φ = 1956864614400.

The previous prime is 8226519272611. The next prime is 8226519272669. The reversal of 8226519272640 is 462729156228.

8226519272640 is a `hidden beast` number, since 82 + 2 + 6 + 519 + 2 + 7 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (8226519272611) and next prime (8226519272669).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62698305 + ... + 62829375.

Almost surely, 2^{8226519272640} is an apocalyptic number.

8226519272640 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 8226519272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788534661120).

8226519272640 is an abundant number, since it is smaller than the sum of its proper divisors (23350550049600).

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

8226519272640 is a wasteful number, since it uses less digits than its factorization.

8226519272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131181 (or 131168 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8226519272640 in words is "eight trillion, two hundred twenty-six billion, five hundred nineteen million, two hundred seventy-two thousand, six hundred forty".