7630440240 has 80 divisors (see below), whose sum is σ = 23694170976. Its totient is φ = 2031360000.

The previous prime is 7630440227. The next prime is 7630440247. The reversal of 7630440240 is 420440367.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7630440240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7630440198 and 7630440207.

It is not an unprimeable number, because it can be changed into a prime (7630440247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117790 + ... + 170690.

Almost surely, 2^7630440240 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 7630440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847085488).

7630440240 is an abundant number, since it is smaller than the sum of its proper divisors (16063730736).

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

7630440240 is a wasteful number, since it uses less digits than its factorization.

7630440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53518 (or 53512 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 7630440240 is about 87352.3911521602. The cubic root of 7630440240 is about 1968.7165783996.

The spelling of 7630440240 in words is "seven billion, six hundred thirty million, four hundred forty thousand, two hundred forty".