6562552656 has 160 divisors (see below), whose sum is σ = 19077493248. Its totient is φ = 1926443520.

The previous prime is 6562552643. The next prime is 6562552663.

6562552656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5528095 + ... + 5529281.

Almost surely, 2^6562552656 is an apocalyptic number.

6562552656 is a gapful number since it is divisible by the number (66) 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 6562552656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9538746624).

6562552656 is an abundant number, since it is smaller than the sum of its proper divisors (12514940592).

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

6562552656 is a wasteful number, since it uses less digits than its factorization.

6562552656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1523 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The square root of 6562552656 is about 81009.5837293341. The cubic root of 6562552656 is about 1872.2231042079.

The spelling of 6562552656 in words is "six billion, five hundred sixty-two million, five hundred fifty-two thousand, six hundred fifty-six".