7842662496 has 144 divisors (see below), whose sum is σ = 23802315264. Its totient is φ = 2440876032.

The previous prime is 7842662489. The next prime is 7842662507. The reversal of 7842662496 is 6942662487.

7842662496 is a `hidden beast` number, since 7 + 8 + 4 + 2 + 6 + 624 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 615486 + ... + 628098.

It is an arithmetic number, because the mean of its divisors is an integer number (165293856).

Almost surely, 2^7842662496 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 7842662496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901157632).

7842662496 is an abundant number, since it is smaller than the sum of its proper divisors (15959652768).

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

7842662496 is a wasteful number, since it uses less digits than its factorization.

7842662496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12773 (or 12762 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 7842662496 is about 88558.8081220609. The cubic root of 7842662496 is about 1986.8016345002.

Subtracting from 7842662496 its reverse (6942662487), we obtain a palindrome (900000009).

The spelling of 7842662496 in words is "seven billion, eight hundred forty-two million, six hundred sixty-two thousand, four hundred ninety-six".