8642130779520 has 1024 divisors, whose sum is σ = 35688949401600. Its totient is φ = 1935626305536.

The previous prime is 8642130779441. The next prime is 8642130779539. The reversal of 8642130779520 is 259770312468.

It is a happy number.

8642130779520 is a `hidden beast` number, since 8 + 6 + 42 + 1 + 3 + 0 + 7 + 79 + 520 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1596548334 + ... + 1596553746.

It is an arithmetic number, because the mean of its divisors is an integer number (34852489650).

It is a 1-persistent number, because it is pandigital, but 2⋅8642130779520 = 17284261559040 is not.

Almost surely, 2^{8642130779520} is an apocalyptic number.

8642130779520 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 8642130779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844474700800).

8642130779520 is an abundant number, since it is smaller than the sum of its proper divisors (27046818622080).

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

8642130779520 is a wasteful number, since it uses less digits than its factorization.

8642130779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 8642130779520 in words is "eight trillion, six hundred forty-two billion, one hundred thirty million, seven hundred seventy-nine thousand, five hundred twenty".