7009365440 has 224 divisors, whose sum is σ = 20990527488. Its totient is φ = 2183808000.

The previous prime is 7009365383. The next prime is 7009365443. The reversal of 7009365440 is 445639007.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 7009365394 and 7009365403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7009365443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2980265 + ... + 2982615.

It is an arithmetic number, because the mean of its divisors is an integer number (93707712).

Almost surely, 2^7009365440 is an apocalyptic number.

7009365440 is a gapful number since it is divisible by the number (70) 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 7009365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10495263744).

7009365440 is an abundant number, since it is smaller than the sum of its proper divisors (13981162048).

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

7009365440 is a wasteful number, since it uses less digits than its factorization.

7009365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 7009365440 is about 83721.9531544744. The cubic root of 7009365440 is about 1913.7839188838.

The spelling of 7009365440 in words is "seven billion, nine million, three hundred sixty-five thousand, four hundred forty".