8469787680 has 240 divisors, whose sum is σ = 30033400320. Its totient is φ = 2247879168.

The previous prime is 8469787673. The next prime is 8469787699. The reversal of 8469787680 is 867879648.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×8469787680³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2940481 + ... + 2943359.

It is an arithmetic number, because the mean of its divisors is an integer number (125139168).

Almost surely, 2^8469787680 is an apocalyptic number.

8469787680 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 8469787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016700160).

8469787680 is an abundant number, since it is smaller than the sum of its proper divisors (21563612640).

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

8469787680 is a wasteful number, since it uses less digits than its factorization.

8469787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 8469787680 is about 92031.4494072543. The cubic root of 8469787680 is about 2038.4067144098.

The spelling of 8469787680 in words is "eight billion, four hundred sixty-nine million, seven hundred eighty-seven thousand, six hundred eighty".