6460191360 has 576 divisors, whose sum is σ = 26556491520. Its totient is φ = 1442230272.

The previous prime is 6460191343. The next prime is 6460191433. The reversal of 6460191360 is 631910646.

6460191360 is a `hidden beast` number, since 6 + 460 + 191 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13265037 + ... + 13265523.

It is an arithmetic number, because the mean of its divisors is an integer number (46105020).

Almost surely, 2^6460191360 is an apocalyptic number.

6460191360 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 6460191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278245760).

6460191360 is an abundant number, since it is smaller than the sum of its proper divisors (20096300160).

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

6460191360 is a wasteful number, since it uses less digits than its factorization.

6460191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6460191360 is about 80375.3156136883. The cubic root of 6460191360 is about 1862.4378716570.

It can be divided in two parts, 64601 and 91360, that added together give a triangular number (155961 = T₅₅₈).

The spelling of 6460191360 in words is "six billion, four hundred sixty million, one hundred ninety-one thousand, three hundred sixty".