7845534720 has 704 divisors, whose sum is σ = 30655872000. Its totient is φ = 1895104512.

The previous prime is 7845534713. The next prime is 7845534751. The reversal of 7845534720 is 274355487.

7845534720 is a `hidden beast` number, since 7 + 8 + 45 + 534 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76170189 + ... + 76170291.

Almost surely, 2^7845534720 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 7845534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327936000).

7845534720 is an abundant number, since it is smaller than the sum of its proper divisors (22810337280).

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

7845534720 is a wasteful number, since it uses less digits than its factorization.

7845534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 7845534720 is about 88575.0231160004. The cubic root of 7845534720 is about 1987.0441475008.

The spelling of 7845534720 in words is "seven billion, eight hundred forty-five million, five hundred thirty-four thousand, seven hundred twenty".