7846573680 has 800 divisors, whose sum is σ = 31734540288. Its totient is φ = 1779148800.

The previous prime is 7846573619. The next prime is 7846573699. The reversal of 7846573680 is 863756487.

7846573680 is a `hidden beast` number, since 7 + 8 + 4 + 6 + 573 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117113007 + ... + 117113073.

Almost surely, 2^7846573680 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 7846573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867270144).

7846573680 is an abundant number, since it is smaller than the sum of its proper divisors (23887966608).

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

7846573680 is a wasteful number, since it uses less digits than its factorization.

7846573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7846573680 is about 88580.8877806042. The cubic root of 7846573680 is about 1987.1318563414.

The spelling of 7846573680 in words is "seven billion, eight hundred forty-six million, five hundred seventy-three thousand, six hundred eighty".