6144727680 has 768 divisors, whose sum is σ = 27534124800. Its totient is φ = 1226244096.

The previous prime is 6144727643. The next prime is 6144727691. The reversal of 6144727680 is 867274416.

6144727680 is a `hidden beast` number, since 61 + 447 + 2 + 76 + 80 = 666.

It is a super-2 number, since 2×6144727680² = 75515356522716364800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9958732 + ... + 9959348.

It is an arithmetic number, because the mean of its divisors is an integer number (35851725).

Almost surely, 2^6144727680 is an apocalyptic number.

6144727680 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 6144727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13767062400).

6144727680 is an abundant number, since it is smaller than the sum of its proper divisors (21389397120).

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

6144727680 is a wasteful number, since it uses less digits than its factorization.

6144727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6144727680 is about 78388.3134146921. The cubic root of 6144727680 is about 1831.6150930139.

The spelling of 6144727680 in words is "six billion, one hundred forty-four million, seven hundred twenty-seven thousand, six hundred eighty".