8646946560 has 576 divisors, whose sum is σ = 36230799360. Its totient is φ = 1911029760.

The previous prime is 8646946547. The next prime is 8646946571. The reversal of 8646946560 is 656496468.

8646946560 is a `hidden beast` number, since 8 + 64 + 69 + 465 + 60 = 666.

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

It is a super-2 number, since 2×8646946560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8646946497 and 8646946506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7498944 + ... + 7500096.

Almost surely, 2^8646946560 is an apocalyptic number.

8646946560 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 8646946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115399680).

8646946560 is an abundant number, since it is smaller than the sum of its proper divisors (27583852800).

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

8646946560 is a wasteful number, since it uses less digits than its factorization.

8646946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The square root of 8646946560 is about 92988.9593446448. The cubic root of 8646946560 is about 2052.5209169615.

The spelling of 8646946560 in words is "eight billion, six hundred forty-six million, nine hundred forty-six thousand, five hundred sixty".