6458164560 has 160 divisors (see below), whose sum is σ = 22297680000. Its totient is φ = 1718083584.

The previous prime is 6458164553. The next prime is 6458164567. The reversal of 6458164560 is 654618546.

6458164560 is a `hidden beast` number, since 6 + 4 + 5 + 81 + 6 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6458164553) and next prime (6458164567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6458164567) 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, 966511 + ... + 973169.

It is an arithmetic number, because the mean of its divisors is an integer number (139360500).

Almost surely, 2^6458164560 is an apocalyptic number.

6458164560 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 6458164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148840000).

6458164560 is an abundant number, since it is smaller than the sum of its proper divisors (15839515440).

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

6458164560 is a wasteful number, since it uses less digits than its factorization.

6458164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6458164560 is about 80362.7062759835. The cubic root of 6458164560 is about 1862.2430794958.

The spelling of 6458164560 in words is "six billion, four hundred fifty-eight million, one hundred sixty-four thousand, five hundred sixty".