6562045546560 has 672 divisors, whose sum is σ = 28089073209600. Its totient is φ = 1371953479680.

The previous prime is 6562045546513. The next prime is 6562045546601. The reversal of 6562045546560 is 656455402656.

It is a happy number.

6562045546560 is a `hidden beast` number, since 6 + 5 + 6 + 2 + 0 + 45 + 546 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 6562045546497 and 6562045546506.

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, 10812790 + ... + 11403530.

Almost surely, 2^{6562045546560} is an apocalyptic number.

6562045546560 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 6562045546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14044536604800).

6562045546560 is an abundant number, since it is smaller than the sum of its proper divisors (21527027663040).

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

6562045546560 is a wasteful number, since it uses less digits than its factorization.

6562045546560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590819 (or 590806 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 6562045546560 in words is "six trillion, five hundred sixty-two billion, forty-five million, five hundred forty-six thousand, five hundred sixty".