6191458560 has 720 divisors, whose sum is σ = 26710992000. Its totient is φ = 1337720832.

The previous prime is 6191458549. The next prime is 6191458571. The reversal of 6191458560 is 658541916.

6191458560 is a `hidden beast` number, since 6 + 1 + 9 + 1 + 4 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6191458549) and next prime (6191458571).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789216 + ... + 13789664.

It is an arithmetic number, because the mean of its divisors is an integer number (37098600).

Almost surely, 2^6191458560 is an apocalyptic number.

6191458560 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 6191458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355496000).

6191458560 is an abundant number, since it is smaller than the sum of its proper divisors (20519533440).

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

6191458560 is a wasteful number, since it uses less digits than its factorization.

6191458560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 6191458560 is about 78685.8218486660. The cubic root of 6191458560 is about 1836.2465387246.

The spelling of 6191458560 in words is "six billion, one hundred ninety-one million, four hundred fifty-eight thousand, five hundred sixty".