8482015790640 has 240 divisors, whose sum is σ = 32578081536000. Its totient is φ = 1937359047168.

The previous prime is 8482015790621. The next prime is 8482015790671. The reversal of 8482015790640 is 460975102848.

It is a happy number.

8482015790640 is a `hidden beast` number, since 8 + 4 + 8 + 2 + 0 + 1 + 579 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 6449481 + ... + 7652439.

It is an arithmetic number, because the mean of its divisors is an integer number (135742006400).

Almost surely, 2^{8482015790640} is an apocalyptic number.

8482015790640 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 8482015790640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289040768000).

8482015790640 is an abundant number, since it is smaller than the sum of its proper divisors (24096065745360).

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

8482015790640 is a wasteful number, since it uses less digits than its factorization.

8482015790640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204384 (or 1204375 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8482015790640 in words is "eight trillion, four hundred eighty-two billion, fifteen million, seven hundred ninety thousand, six hundred forty".