6471140160 has 336 divisors, whose sum is σ = 22268785536. Its totient is φ = 1587953664.

The previous prime is 6471140141. The next prime is 6471140233. The reversal of 6471140160 is 610411746.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 72709396 + ... + 72709484.

Almost surely, 2^6471140160 is an apocalyptic number.

6471140160 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 6471140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134392768).

6471140160 is an abundant number, since it is smaller than the sum of its proper divisors (15797645376).

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

6471140160 is a wasteful number, since it uses less digits than its factorization.

6471140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6471140160 is about 80443.3972430305. The cubic root of 6471140160 is about 1863.4894375514.

The spelling of 6471140160 in words is "six billion, four hundred seventy-one million, one hundred forty thousand, one hundred sixty".