7982851968 has 320 divisors, whose sum is σ = 29242641120. Its totient is φ = 2105118720.

The previous prime is 7982851967. The next prime is 7982851991. The reversal of 7982851968 is 8691582897.

It is a happy number.

7982851968 is a `hidden beast` number, since 7 + 98 + 28 + 519 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7982851967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 939258 + ... + 947718.

Almost surely, 2^7982851968 is an apocalyptic number.

7982851968 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7982851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14621320560).

7982851968 is an abundant number, since it is smaller than the sum of its proper divisors (21259789152).

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

7982851968 is a wasteful number, since it uses less digits than its factorization.

7982851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507 (or 8486 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The square root of 7982851968 is about 89346.8072624870. The cubic root of 7982851968 is about 1998.5699750914.

The spelling of 7982851968 in words is "seven billion, nine hundred eighty-two million, eight hundred fifty-one thousand, nine hundred sixty-eight".