6127712640 has 384 divisors, whose sum is σ = 25249039200. Its totient is φ = 1400426496.

The previous prime is 6127712621. The next prime is 6127712651. The reversal of 6127712640 is 462177216.

6127712640 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6127712595 and 6127712604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 843102 + ... + 850338.

Almost surely, 2^6127712640 is an apocalyptic number.

6127712640 is a gapful number since it is divisible by the number (60) 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 6127712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624519600).

6127712640 is an abundant number, since it is smaller than the sum of its proper divisors (19121326560).

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

6127712640 is a wasteful number, since it uses less digits than its factorization.

6127712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6127712640 is about 78279.7077153460. The cubic root of 6127712640 is about 1829.9229206987.

Adding to 6127712640 its reverse (462177216), we get a palindrome (6589889856).

The spelling of 6127712640 in words is "six billion, one hundred twenty-seven million, seven hundred twelve thousand, six hundred forty".