7982857344 has 192 divisors, whose sum is σ = 26909517600. Its totient is φ = 2073415680.

The previous prime is 7982857321. The next prime is 7982857349. The reversal of 7982857344 is 4437582897.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7982857344² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7982857349) 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, 187692 + ... + 226260.

Almost surely, 2^7982857344 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 7982857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13454758800).

7982857344 is an abundant number, since it is smaller than the sum of its proper divisors (18926660256).

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

7982857344 is a wasteful number, since it uses less digits than its factorization.

7982857344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38611 (or 38592 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The square root of 7982857344 is about 89346.8373474965. The cubic root of 7982857344 is about 1998.5704237326.

The spelling of 7982857344 in words is "seven billion, nine hundred eighty-two million, eight hundred fifty-seven thousand, three hundred forty-four".