8678627408 has 80 divisors (see below), whose sum is σ = 18673804800. Its totient is φ = 3874362240.

The previous prime is 8678627371. The next prime is 8678627417. The reversal of 8678627408 is 8047268768.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2613173 + ... + 2616491.

It is an arithmetic number, because the mean of its divisors is an integer number (233422560).

Almost surely, 2^8678627408 is an apocalyptic number.

8678627408 is a gapful number since it is divisible by the number (88) 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 8678627408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336902400).

8678627408 is an abundant number, since it is smaller than the sum of its proper divisors (9995177392).

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

8678627408 is a wasteful number, since it uses less digits than its factorization.

8678627408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The square root of 8678627408 is about 93159.1509622109. The cubic root of 8678627408 is about 2055.0245502757.

The spelling of 8678627408 in words is "eight billion, six hundred seventy-eight million, six hundred twenty-seven thousand, four hundred eight".