7982270352 has 240 divisors, whose sum is σ = 26458877952. Its totient is φ = 2198327040.

The previous prime is 7982270249. The next prime is 7982270357. The reversal of 7982270352 is 2530722897.

7982270352 is a `hidden beast` number, since 79 + 8 + 227 + 0 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7982270298 and 7982270307.

It is not an unprimeable number, because it can be changed into a prime (7982270357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14592543 + ... + 14593089.

Almost surely, 2^7982270352 is an apocalyptic number.

7982270352 is a gapful number since it is divisible by the number (72) 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 7982270352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229438976).

7982270352 is an abundant number, since it is smaller than the sum of its proper divisors (18476607600).

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

7982270352 is a wasteful number, since it uses less digits than its factorization.

7982270352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7982270352 is about 89343.5523806839. The cubic root of 7982270352 is about 1998.5214365277.

The spelling of 7982270352 in words is "seven billion, nine hundred eighty-two million, two hundred seventy thousand, three hundred fifty-two".