8275004678304 has 2880 divisors, whose sum is σ = 33886574346240. Its totient is φ = 1955476131840.

The previous prime is 8275004678299. The next prime is 8275004678327. The reversal of 8275004678304 is 4038764005728.

8275004678304 is a `hidden beast` number, since 8 + 27 + 500 + 46 + 78 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 65157517089 + ... + 65157517215.

It is an arithmetic number, because the mean of its divisors is an integer number (11766171648).

Almost surely, 2^{8275004678304} is an apocalyptic number.

8275004678304 is a gapful number since it is divisible by the number (84) 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 8275004678304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943287173120).

8275004678304 is an abundant number, since it is smaller than the sum of its proper divisors (25611569667936).

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

8275004678304 is a wasteful number, since it uses less digits than its factorization.

8275004678304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 8275004678304 in words is "eight trillion, two hundred seventy-five billion, four million, six hundred seventy-eight thousand, three hundred four".