8279321840640 has 1056 divisors, whose sum is σ = 30048441224256. Its totient is φ = 2106096353280.

The previous prime is 8279321840639. The next prime is 8279321840659. The reversal of 8279321840640 is 460481239728.

8279321840640 is a `hidden beast` number, since 8 + 279 + 321 + 8 + 4 + 0 + 6 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23859716947 + ... + 23859717293.

Almost surely, 2^{8279321840640} is an apocalyptic number.

8279321840640 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 8279321840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15024220612128).

8279321840640 is an abundant number, since it is smaller than the sum of its proper divisors (21769119383616).

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

8279321840640 is a wasteful number, since it uses less digits than its factorization.

8279321840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 8279321840640 in words is "eight trillion, two hundred seventy-nine billion, three hundred twenty-one million, eight hundred forty thousand, six hundred forty".