8278761479040 has 1536 divisors, whose sum is σ = 33167348323200. Its totient is φ = 1963941396480.

The previous prime is 8278761478997. The next prime is 8278761479057. The reversal of 8278761479040 is 409741678728.

8278761479040 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 7 + 614 + 7 + 9 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15302701170 + ... + 15302701710.

Almost surely, 2^{8278761479040} is an apocalyptic number.

8278761479040 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 8278761479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583674161600).

8278761479040 is an abundant number, since it is smaller than the sum of its proper divisors (24888586844160).

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

8278761479040 is an equidigital number, since it uses as much as digits as its factorization.

8278761479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 8278761479040 in words is "eight trillion, two hundred seventy-eight billion, seven hundred sixty-one million, four hundred seventy-nine thousand, forty".