7440034560 has 216 divisors, whose sum is σ = 27641756016. Its totient is φ = 1700536320.

The previous prime is 7440034543. The next prime is 7440034577. The reversal of 7440034560 is 654300447.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7440034543) and next prime (7440034577).

It is a super-2 number, since 2×7440034560² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168390 + ... + 207930.

Almost surely, 2^7440034560 is an apocalyptic number.

7440034560 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 7440034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820878008).

7440034560 is an abundant number, since it is smaller than the sum of its proper divisors (20201721456).

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

7440034560 is a wasteful number, since it uses less digits than its factorization.

7440034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39579 (or 39558 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 7440034560 is about 86255.6349463616. The cubic root of 7440034560 is about 1952.2030380936.

The spelling of 7440034560 in words is "seven billion, four hundred forty million, thirty-four thousand, five hundred sixty".