8682255757440 has 384 divisors, whose sum is σ = 30157399396800. Its totient is φ = 2301669974016.

The previous prime is 8682255757421. The next prime is 8682255757459. The reversal of 8682255757440 is 447575522868.

8682255757440 is a `hidden beast` number, since 8 + 6 + 8 + 2 + 2 + 5 + 57 + 574 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8682255757421) and next prime (8682255757459).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958407631 + ... + 958416689.

Almost surely, 2^{8682255757440} is an apocalyptic number.

8682255757440 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 8682255757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15078699698400).

8682255757440 is an abundant number, since it is smaller than the sum of its proper divisors (21475143639360).

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

8682255757440 is a wasteful number, since it uses less digits than its factorization.

8682255757440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 8682255757440 in words is "eight trillion, six hundred eighty-two billion, two hundred fifty-five million, seven hundred fifty-seven thousand, four hundred forty".