7578736704 has 672 divisors, whose sum is σ = 28909670400. Its totient is φ = 1924715520.

The previous prime is 7578736679. The next prime is 7578736709. The reversal of 7578736704 is 4076378757.

7578736704 is a `hidden beast` number, since 7 + 578 + 7 + 3 + 67 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (7578736709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73579917 + ... + 73580019.

Almost surely, 2^7578736704 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 7578736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454835200).

7578736704 is an abundant number, since it is smaller than the sum of its proper divisors (21330933696).

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

7578736704 is a wasteful number, since it uses less digits than its factorization.

7578736704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 6914880, while the sum is 54.

The square root of 7578736704 is about 87055.9400845227. The cubic root of 7578736704 is about 1964.2598506087.

The spelling of 7578736704 in words is "seven billion, five hundred seventy-eight million, seven hundred thirty-six thousand, seven hundred four".