8678775006720 has 2560 divisors, whose sum is σ = 40092433920000. Its totient is φ = 1766163087360.

The previous prime is 8678775006701. The next prime is 8678775006751. The reversal of 8678775006720 is 276005778768.

8678775006720 is a `hidden beast` number, since 8 + 67 + 8 + 7 + 7 + 500 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×8678775006720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 8937975835 + ... + 8937976805.

It is an arithmetic number, because the mean of its divisors is an integer number (15661107000).

Almost surely, 2^{8678775006720} is an apocalyptic number.

8678775006720 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 8678775006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046216960000).

8678775006720 is an abundant number, since it is smaller than the sum of its proper divisors (31413658913280).

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

8678775006720 is a wasteful number, since it uses less digits than its factorization.

8678775006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 8678775006720 in words is "eight trillion, six hundred seventy-eight billion, seven hundred seventy-five million, six thousand, seven hundred twenty".