6481427760 has 160 divisors (see below), whose sum is σ = 22530552000. Its totient is φ = 1712461824.

The previous prime is 6481427747. The next prime is 6481427767. The reversal of 6481427760 is 677241846.

6481427760 is a `hidden beast` number, since 6 + 481 + 42 + 77 + 60 = 666.

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 not an unprimeable number, because it can be changed into a prime (6481427767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221676 + ... + 249204.

It is an arithmetic number, because the mean of its divisors is an integer number (140815950).

Almost surely, 2^6481427760 is an apocalyptic number.

6481427760 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 6481427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265276000).

6481427760 is an abundant number, since it is smaller than the sum of its proper divisors (16049124240).

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

6481427760 is a wasteful number, since it uses less digits than its factorization.

6481427760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27660 (or 27648 counting only the distinct ones).

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

The square root of 6481427760 is about 80507.3149471525. The cubic root of 6481427760 is about 1864.4764188962.

The spelling of 6481427760 in words is "six billion, four hundred eighty-one million, four hundred twenty-seven thousand, seven hundred sixty".