6144679440 has 100 divisors (see below), whose sum is σ = 21341404524. Its totient is φ = 1638579456.

The previous prime is 6144679423. The next prime is 6144679469. The reversal of 6144679440 is 449764416.

6144679440 is a `hidden beast` number, since 6 + 144 + 67 + 9 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2093611536 + 4051067904 = 45756^2 + 63648^2 .

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 467647 + ... + 480606.

Almost surely, 2^6144679440 is an apocalyptic number.

6144679440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6144679440 is an abundant number, since it is smaller than the sum of its proper divisors (15196725084).

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

6144679440 is a wasteful number, since it uses less digits than its factorization.

6144679440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948278 (or 948263 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6144679440 is about 78388.0057151603. The cubic root of 6144679440 is about 1831.6102998889.

It can be divided in two parts, 6144 and 679440, that added together give a square (685584 = 828²).

The spelling of 6144679440 in words is "six billion, one hundred forty-four million, six hundred seventy-nine thousand, four hundred forty".