8780465564640 has 960 divisors, whose sum is σ = 40667507274240. Its totient is φ = 1728481628160.

The previous prime is 8780465564617. The next prime is 8780465564653. The reversal of 8780465564640 is 464655640878.

It is a happy number.

8780465564640 is a `hidden beast` number, since 8 + 7 + 8 + 0 + 4 + 6 + 5 + 564 + 64 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 18728934 + ... + 19192026.

It is an arithmetic number, because the mean of its divisors is an integer number (42361986744).

Almost surely, 2^{8780465564640} is an apocalyptic number.

8780465564640 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 8780465564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20333753637120).

8780465564640 is an abundant number, since it is smaller than the sum of its proper divisors (31887041709600).

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

8780465564640 is a wasteful number, since it uses less digits than its factorization.

8780465564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463157 (or 463140 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 8780465564640 in words is "eight trillion, seven hundred eighty billion, four hundred sixty-five million, five hundred sixty-four thousand, six hundred forty".