7009413840 has 480 divisors, whose sum is σ = 28593169920. Its totient is φ = 1567779840.

The previous prime is 7009413821. The next prime is 7009413847. The reversal of 7009413840 is 483149007.

It is a happy number.

It is a super-3 number, since 3×7009413840³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7009413795 and 7009413804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7009413847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3396649 + ... + 3398711.

It is an arithmetic number, because the mean of its divisors is an integer number (59569104).

Almost surely, 2^7009413840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7009413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296584960).

7009413840 is an abundant number, since it is smaller than the sum of its proper divisors (21583756080).

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

7009413840 is a wasteful number, since it uses less digits than its factorization.

7009413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7009413840 is about 83722.2422059992. The cubic root of 7009413840 is about 1913.7883237965.

The spelling of 7009413840 in words is "seven billion, nine million, four hundred thirteen thousand, eight hundred forty".