6495793846560 has 576 divisors, whose sum is σ = 23264180843904. Its totient is φ = 1711466496000.

The previous prime is 6495793846541. The next prime is 6495793846603. The reversal of 6495793846560 is 656483975946.

6495793846560 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 79 + 38 + 465 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2242247032 + ... + 2242249928.

It is an arithmetic number, because the mean of its divisors is an integer number (40389202854).

Almost surely, 2^{6495793846560} is an apocalyptic number.

6495793846560 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 6495793846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632090421952).

6495793846560 is an abundant number, since it is smaller than the sum of its proper divisors (16768386997344).

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

6495793846560 is a wasteful number, since it uses less digits than its factorization.

6495793846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 6495793846560 in words is "six trillion, four hundred ninety-five billion, seven hundred ninety-three million, eight hundred forty-six thousand, five hundred sixty".