8678872440 has 1024 divisors, whose sum is σ = 37822464000. Its totient is φ = 1724405760.

The previous prime is 8678872429. The next prime is 8678872481. The reversal of 8678872440 is 442788768.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 122237605 + ... + 122237675.

It is an arithmetic number, because the mean of its divisors is an integer number (36936000).

Almost surely, 2^8678872440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8678872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18911232000).

8678872440 is an abundant number, since it is smaller than the sum of its proper divisors (29143591560).

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

8678872440 is a wasteful number, since it uses less digits than its factorization.

8678872440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 8678872440 is about 93160.4660786967. The cubic root of 8678872440 is about 2055.0438905858.

The spelling of 8678872440 in words is "eight billion, six hundred seventy-eight million, eight hundred seventy-two thousand, four hundred forty".