8029483680 has 192 divisors, whose sum is σ = 26097579648. Its totient is φ = 2074152960.

The previous prime is 8029483669. The next prime is 8029483699. The reversal of 8029483680 is 863849208.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959714 + ... + 1963806.

It is an arithmetic number, because the mean of its divisors is an integer number (135924894).

Almost surely, 2^8029483680 is an apocalyptic number.

8029483680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8029483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048789824).

8029483680 is an abundant number, since it is smaller than the sum of its proper divisors (18068095968).

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

8029483680 is a wasteful number, since it uses less digits than its factorization.

8029483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 8029483680 is about 89607.3863026927. The cubic root of 8029483680 is about 2002.4539611392.

The spelling of 8029483680 in words is "eight billion, twenty-nine million, four hundred eighty-three thousand, six hundred eighty".