7775564004 has 96 divisors (see below), whose sum is σ = 22171645440. Its totient is φ = 2341557504.

The previous prime is 7775564003. The next prime is 7775564011. The reversal of 7775564004 is 4004655777.

It is a super-3 number, since 3×7775564004³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7775564003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7072 + ... + 124904.

It is an arithmetic number, because the mean of its divisors is an integer number (230954640).

Almost surely, 2^7775564004 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 7775564004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11085822720).

7775564004 is an abundant number, since it is smaller than the sum of its proper divisors (14396081436).

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

7775564004 is a wasteful number, since it uses less digits than its factorization.

7775564004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117906 (or 117898 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 7775564004 is about 88179.1585580176. The cubic root of 7775564004 is about 1981.1193211994.

The spelling of 7775564004 in words is "seven billion, seven hundred seventy-five million, five hundred sixty-four thousand, four".