8645978880 has 1296 divisors, whose sum is σ = 40819693824. Its totient is φ = 1702010880.

The previous prime is 8645978867. The next prime is 8645978897. The reversal of 8645978880 is 888795468.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 455051511 + ... + 455051529.

Almost surely, 2^8645978880 is an apocalyptic number.

8645978880 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 8645978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20409846912).

8645978880 is an abundant number, since it is smaller than the sum of its proper divisors (32173714944).

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

8645978880 is a wasteful number, since it uses less digits than its factorization.

8645978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 8645978880 is about 92983.7560007123. The cubic root of 8645978880 is about 2052.4443482166. Note that the first 3 decimals are identical.

The spelling of 8645978880 in words is "eight billion, six hundred forty-five million, nine hundred seventy-eight thousand, eight hundred eighty".