8730456840 has 768 divisors, whose sum is σ = 36057415680. Its totient is φ = 1788272640.

The previous prime is 8730456829. The next prime is 8730456887. The reversal of 8730456840 is 486540378.

8730456840 is a `hidden beast` number, since 87 + 3 + 0 + 4 + 568 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77260624 + ... + 77260736.

It is an arithmetic number, because the mean of its divisors is an integer number (46949760).

Almost surely, 2^8730456840 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 8730456840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028707840).

8730456840 is an abundant number, since it is smaller than the sum of its proper divisors (27326958840).

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

8730456840 is a wasteful number, since it uses less digits than its factorization.

8730456840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8730456840 is about 93436.9136904682. The cubic root of 8730456840 is about 2059.1073551069.

The spelling of 8730456840 in words is "eight billion, seven hundred thirty million, four hundred fifty-six thousand, eight hundred forty".