8184978479040 has 672 divisors, whose sum is σ = 30205713162240. Its totient is φ = 1873360896000.

The previous prime is 8184978479039. The next prime is 8184978479101. The reversal of 8184978479040 is 409748794818.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147611641 + ... + 147667079.

It is an arithmetic number, because the mean of its divisors is an integer number (44948977920).

Almost surely, 2^{8184978479040} is an apocalyptic number.

8184978479040 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 8184978479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15102856581120).

8184978479040 is an abundant number, since it is smaller than the sum of its proper divisors (22020734683200).

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

8184978479040 is a wasteful number, since it uses less digits than its factorization.

8184978479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55553 (or 55532 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 69.

The spelling of 8184978479040 in words is "eight trillion, one hundred eighty-four billion, nine hundred seventy-eight million, four hundred seventy-nine thousand, forty".