7405940960 has 96 divisors (see below), whose sum is σ = 19187933184. Its totient is φ = 2678848000.

The previous prime is 7405940953. The next prime is 7405941019. The reversal of 7405940960 is 690495047.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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, 325145 + ... + 347175.

It is an arithmetic number, because the mean of its divisors is an integer number (199874304).

Almost surely, 2^7405940960 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 7405940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9593966592).

7405940960 is an abundant number, since it is smaller than the sum of its proper divisors (11781992224).

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

7405940960 is a wasteful number, since it uses less digits than its factorization.

7405940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22248 (or 22240 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 7405940960 is about 86057.7768711230. The cubic root of 7405940960 is about 1949.2165127719.

The spelling of 7405940960 in words is "seven billion, four hundred five million, nine hundred forty thousand, nine hundred sixty".