7840132314 has 96 divisors (see below), whose sum is σ = 19339321344. Its totient is φ = 2073345120.

The previous prime is 7840132309. The next prime is 7840132319. The reversal of 7840132314 is 4132310487.

It is an interprime number because it is at equal distance from previous prime (7840132309) and next prime (7840132319).

It is a super-2 number, since 2×7840132314² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7840132319) 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, 683067 + ... + 694449.

It is an arithmetic number, because the mean of its divisors is an integer number (201451264).

Almost surely, 2^7840132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7840132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669660672).

7840132314 is an abundant number, since it is smaller than the sum of its proper divisors (11499189030).

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

7840132314 is a wasteful number, since it uses less digits than its factorization.

7840132314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11472 (or 11449 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7840132314 is about 88544.5216487164. The cubic root of 7840132314 is about 1986.5879523725.

The spelling of 7840132314 in words is "seven billion, eight hundred forty million, one hundred thirty-two thousand, three hundred fourteen".