6147440640 has 384 divisors, whose sum is σ = 23309488800. Its totient is φ = 1486356480.

The previous prime is 6147440617. The next prime is 6147440681. The reversal of 6147440640 is 460447416.

6147440640 is a `hidden beast` number, since 6 + 1 + 4 + 7 + 4 + 4 + 0 + 640 = 666.

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

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 = 6147440595 and 6147440604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16219971 + ... + 16220349.

Almost surely, 2^6147440640 is an apocalyptic number.

6147440640 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 6147440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654744400).

6147440640 is an abundant number, since it is smaller than the sum of its proper divisors (17162048160).

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

6147440640 is a wasteful number, since it uses less digits than its factorization.

6147440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6147440640 is about 78405.6161253771. The cubic root of 6147440640 is about 1831.8846122732.

The spelling of 6147440640 in words is "six billion, one hundred forty-seven million, four hundred forty thousand, six hundred forty".