7910940960 has 288 divisors, whose sum is σ = 29346997680. Its totient is φ = 1928945664.

The previous prime is 7910940959. The next prime is 7910940967. The reversal of 7910940960 is 690490197.

It can be written as a sum of positive squares in 8 ways, for example, as 1765008144 + 6145932816 = 42012^2 + 78396^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7910940967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2038542 + ... + 2042418.

Almost surely, 2^7910940960 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 7910940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673498840).

7910940960 is an abundant number, since it is smaller than the sum of its proper divisors (21436056720).

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

7910940960 is a wasteful number, since it uses less digits than its factorization.

7910940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 7910940960 is about 88943.4705866597. The cubic root of 7910940960 is about 1992.5507017593.

The spelling of 7910940960 in words is "seven billion, nine hundred ten million, nine hundred forty thousand, nine hundred sixty".