8616686238720 has 2112 divisors, whose sum is σ = 37256317056000. Its totient is φ = 1847764058112.

The previous prime is 8616686238707. The next prime is 8616686238731. The reversal of 8616686238720 is 278326866168.

8616686238720 is a `hidden beast` number, since 8 + 616 + 6 + 8 + 6 + 2 + 3 + 8 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×8616686238720³ (a number of 40 digits) contains 333 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 191 ways as a sum of consecutive naturals, for example, 61990548411 + ... + 61990548549.

Almost surely, 2^{8616686238720} is an apocalyptic number.

8616686238720 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 8616686238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628158528000).

8616686238720 is an abundant number, since it is smaller than the sum of its proper divisors (28639630817280).

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

8616686238720 is a wasteful number, since it uses less digits than its factorization.

8616686238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 8616686238720 in words is "eight trillion, six hundred sixteen billion, six hundred eighty-six million, two hundred thirty-eight thousand, seven hundred twenty".