6478547040 has 288 divisors, whose sum is σ = 26596926720. Its totient is φ = 1402831872.

The previous prime is 6478547039. The next prime is 6478547071. The reversal of 6478547040 is 407458746.

6478547040 is a `hidden beast` number, since 64 + 7 + 8 + 547 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 174607 + ... + 208433.

It is an arithmetic number, because the mean of its divisors is an integer number (92350440).

Almost surely, 2^6478547040 is an apocalyptic number.

6478547040 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 6478547040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13298463360).

6478547040 is an abundant number, since it is smaller than the sum of its proper divisors (20118379680).

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

6478547040 is a wasteful number, since it uses less digits than its factorization.

6478547040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33874 (or 33863 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6478547040 is about 80489.4219136900. The cubic root of 6478547040 is about 1864.2001510410.

The spelling of 6478547040 in words is "six billion, four hundred seventy-eight million, five hundred forty-seven thousand, forty".