8678190720 has 256 divisors, whose sum is σ = 30386534400. Its totient is φ = 2096861184.

The previous prime is 8678190713. The next prime is 8678190817. The reversal of 8678190720 is 270918768.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8678190720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833869 + ... + 844211.

It is an arithmetic number, because the mean of its divisors is an integer number (118697400).

Almost surely, 2^8678190720 is an apocalyptic number.

8678190720 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 8678190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15193267200).

8678190720 is an abundant number, since it is smaller than the sum of its proper divisors (21708343680).

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

8678190720 is a wasteful number, since it uses less digits than its factorization.

8678190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 8678190720 is about 93156.8071586827. The cubic root of 8678190720 is about 2054.9900817063.

The spelling of 8678190720 in words is "eight billion, six hundred seventy-eight million, one hundred ninety thousand, seven hundred twenty".