8042456730 has 288 divisors, whose sum is σ = 26035152192. Its totient is φ = 1571942400.

The previous prime is 8042456707. The next prime is 8042456731. The reversal of 8042456730 is 376542408.

It is a happy number.

It is a super-2 number, since 2×8042456730² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042456731) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4672270 + ... + 4673990.

It is an arithmetic number, because the mean of its divisors is an integer number (90399834).

Almost surely, 2^8042456730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8042456730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017576096).

8042456730 is an abundant number, since it is smaller than the sum of its proper divisors (17992695462).

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

8042456730 is a wasteful number, since it uses less digits than its factorization.

8042456730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 8042456730 is about 89679.7453720738. The cubic root of 8042456730 is about 2003.5318202848.

The spelling of 8042456730 in words is "eight billion, forty-two million, four hundred fifty-six thousand, seven hundred thirty".