8661369372480 has 1568 divisors, whose sum is σ = 36123730444800. Its totient is φ = 1954849075200.

The previous prime is 8661369372433. The next prime is 8661369372497. The reversal of 8661369372480 is 842739631668.

8661369372480 is a `hidden beast` number, since 8 + 6 + 61 + 3 + 6 + 93 + 7 + 2 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2876574175 + ... + 2876577185.

Almost surely, 2^{8661369372480} is an apocalyptic number.

8661369372480 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 8661369372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18061865222400).

8661369372480 is an abundant number, since it is smaller than the sum of its proper divisors (27462361072320).

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

8661369372480 is a wasteful number, since it uses less digits than its factorization.

8661369372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3135 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 8661369372480 in words is "eight trillion, six hundred sixty-one billion, three hundred sixty-nine million, three hundred seventy-two thousand, four hundred eighty".