8613146880 has 576 divisors, whose sum is σ = 34682592000. Its totient is φ = 2006581248.

The previous prime is 8613146879. The next prime is 8613146887. The reversal of 8613146880 is 886413168.

It is a happy number.

8613146880 is a `hidden beast` number, since 86 + 1 + 31 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8613146887) 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, 8535816 + ... + 8536824.

Almost surely, 2^8613146880 is an apocalyptic number.

8613146880 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 8613146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17341296000).

8613146880 is an abundant number, since it is smaller than the sum of its proper divisors (26069445120).

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

8613146880 is a wasteful number, since it uses less digits than its factorization.

8613146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8613146880 is about 92807.0411121915. The cubic root of 8613146880 is about 2049.8430877321.

The spelling of 8613146880 in words is "eight billion, six hundred thirteen million, one hundred forty-six thousand, eight hundred eighty".