8678551680 has 512 divisors, whose sum is σ = 33629644800. Its totient is φ = 2105671680.

The previous prime is 8678551529. The next prime is 8678551681. The reversal of 8678551680 is 861558768.

8678551680 is a `hidden beast` number, since 8 + 6 + 7 + 8 + 551 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8678551681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9106084 + ... + 9107036.

It is an arithmetic number, because the mean of its divisors is an integer number (65682900).

Almost surely, 2^8678551680 is an apocalyptic number.

8678551680 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 8678551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16814822400).

8678551680 is an abundant number, since it is smaller than the sum of its proper divisors (24951093120).

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

8678551680 is a wasteful number, since it uses less digits than its factorization.

8678551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 8678551680 is about 93158.7445170876. The cubic root of 8678551680 is about 2055.0185730113.

The spelling of 8678551680 in words is "eight billion, six hundred seventy-eight million, five hundred fifty-one thousand, six hundred eighty".