7646377320 has 80 divisors (see below), whose sum is σ = 25700334660. Its totient is φ = 2039033088.

The previous prime is 7646377247. The next prime is 7646377331. The reversal of 7646377320 is 237736467.

7646377320 is a `hidden beast` number, since 7 + 6 + 4 + 637 + 7 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6593115204 + 1053262116 = 81198^2 + 32454^2 .

It is a super-2 number, since 2×7646377320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1176757 + ... + 1183236.

Almost surely, 2^7646377320 is an apocalyptic number.

It is an amenable number.

7646377320 is an abundant number, since it is smaller than the sum of its proper divisors (18053957340).

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

7646377320 is a wasteful number, since it uses less digits than its factorization.

7646377320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360016 (or 2360003 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The square root of 7646377320 is about 87443.5664871922. The cubic root of 7646377320 is about 1970.0862580008.

The spelling of 7646377320 in words is "seven billion, six hundred forty-six million, three hundred seventy-seven thousand, three hundred twenty".