8680069440 has 1344 divisors, whose sum is σ = 40169226240. Its totient is φ = 1672151040.

The previous prime is 8680069417. The next prime is 8680069441. The reversal of 8680069440 is 449600868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8680069441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201862059 + ... + 201862101.

Almost surely, 2^8680069440 is an apocalyptic number.

8680069440 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 8680069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20084613120).

8680069440 is an abundant number, since it is smaller than the sum of its proper divisors (31489156800).

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

8680069440 is a wasteful number, since it uses less digits than its factorization.

8680069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8680069440 is about 93166.8902561420. The cubic root of 8680069440 is about 2055.1383642429.

The spelling of 8680069440 in words is "eight billion, six hundred eighty million, sixty-nine thousand, four hundred forty".