8264413026504 has 256 divisors, whose sum is σ = 23721610752000. Its totient is φ = 2664584812800.

The previous prime is 8264413026491. The next prime is 8264413026533. The reversal of 8264413026504 is 4056203144628.

8264413026504 is a `hidden beast` number, since 8 + 2 + 6 + 4 + 4 + 130 + 2 + 6 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8264413026504.

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 63 ways as a sum of consecutive naturals, for example, 296190954 + ... + 296218854.

It is an arithmetic number, because the mean of its divisors is an integer number (92662542000).

Almost surely, 2^{8264413026504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8264413026504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860805376000).

8264413026504 is an abundant number, since it is smaller than the sum of its proper divisors (15457197725496).

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

8264413026504 is a wasteful number, since it uses less digits than its factorization.

8264413026504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28305 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 8264413026504 in words is "eight trillion, two hundred sixty-four billion, four hundred thirteen million, twenty-six thousand, five hundred four".