7008377568 has 192 divisors, whose sum is σ = 20255780160. Its totient is φ = 2111864832.

The previous prime is 7008377561. The next prime is 7008377581. The reversal of 7008377568 is 8657738007.

It is a super-2 number, since 2×7008377568² = 98234712271291189248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7008377568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7008377561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17653146 + ... + 17653542.

It is an arithmetic number, because the mean of its divisors is an integer number (105498855).

Almost surely, 2^7008377568 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 7008377568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127890080).

7008377568 is an abundant number, since it is smaller than the sum of its proper divisors (13247402592).

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

7008377568 is a wasteful number, since it uses less digits than its factorization.

7008377568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The square root of 7008377568 is about 83716.0532275620. The cubic root of 7008377568 is about 1913.6940076364.

The spelling of 7008377568 in words is "seven billion, eight million, three hundred seventy-seven thousand, five hundred sixty-eight".