6487562160 has 800 divisors, whose sum is σ = 25926912000. Its totient is φ = 1494484992.

The previous prime is 6487562153. The next prime is 6487562167. The reversal of 6487562160 is 612657846.

6487562160 is a `hidden beast` number, since 6 + 4 + 87 + 562 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6487562153) and next prime (6487562167).

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 (6487562167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82121001 + ... + 82121079.

It is an arithmetic number, because the mean of its divisors is an integer number (32408640).

Almost surely, 2^6487562160 is an apocalyptic number.

6487562160 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 6487562160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456000).

6487562160 is an abundant number, since it is smaller than the sum of its proper divisors (19439349840).

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

6487562160 is a wasteful number, since it uses less digits than its factorization.

6487562160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6487562160 is about 80545.4043381744. The cubic root of 6487562160 is about 1865.0644497082.

The spelling of 6487562160 in words is "six billion, four hundred eighty-seven million, five hundred sixty-two thousand, one hundred sixty".