7842896640 has 216 divisors, whose sum is σ = 27348008688. Its totient is φ = 2075074560.

The previous prime is 7842896617. The next prime is 7842896647. The reversal of 7842896640 is 466982487.

7842896640 is a `hidden beast` number, since 78 + 428 + 96 + 64 + 0 = 666.

It is a super-2 number, since 2×7842896640² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7842896647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506522 + ... + 1511718.

Almost surely, 2^7842896640 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 7842896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674004344).

7842896640 is an abundant number, since it is smaller than the sum of its proper divisors (19505112048).

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

7842896640 is a wasteful number, since it uses less digits than its factorization.

7842896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 7842896640 is about 88560.1300812053. The cubic root of 7842896640 is about 1986.8214064018.

The spelling of 7842896640 in words is "seven billion, eight hundred forty-two million, eight hundred ninety-six thousand, six hundred forty".