7868565504 has 288 divisors, whose sum is σ = 23956601760. Its totient is φ = 2579890176.

The previous prime is 7868565491. The next prime is 7868565527. The reversal of 7868565504 is 4055658687.

7868565504 is a `hidden beast` number, since 7 + 8 + 6 + 85 + 6 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×7868565504³ (a number of 31 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 48273327 + ... + 48273489.

It is an arithmetic number, because the mean of its divisors is an integer number (83182645).

Almost surely, 2^7868565504 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 7868565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978300880).

7868565504 is an abundant number, since it is smaller than the sum of its proper divisors (16088036256).

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

7868565504 is an equidigital number, since it uses as much as digits as its factorization.

7868565504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 7868565504 is about 88704.9350600067. The cubic root of 7868565504 is about 1988.9865890458.

The spelling of 7868565504 in words is "seven billion, eight hundred sixty-eight million, five hundred sixty-five thousand, five hundred four".