6340777641 has 81 divisors (see below), whose sum is σ = 10709282493. Its totient is φ = 3611971440.

The previous prime is 6340777631. The next prime is 6340777649. The reversal of 6340777641 is 1467770436.

The square root of 6340777641 is 79629.

It is a perfect power (a square), and thus also a powerful number.

6340777641 is a `hidden beast` number, since 634 + 0 + 7 + 7 + 7 + 6 + 4 + 1 = 666.

6340777641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6340777641 - 2¹⁵ = 6340744873 is a prime.

It is a super-2 number, since 2×6340777641² = 80410922185211049762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6340777649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49927320 + ... + 49927446.

Almost surely, 2^6340777641 is an apocalyptic number.

6340777641 is the 79629-th square number.

6340777641 is the 39815-th centered octagonal number.

It is an amenable number.

6340777641 is a deficient number, since it is larger than the sum of its proper divisors (4368504852).

6340777641 is a wasteful number, since it uses less digits than its factorization.

6340777641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The cubic root of 6340777641 is about 1850.8909894675.

It can be divided in two parts, 63 and 40777641, that added together give a palindrome (40777704).

The spelling of 6340777641 in words is "six billion, three hundred forty million, seven hundred seventy-seven thousand, six hundred forty-one".