6563461632 has 160 divisors (see below), whose sum is σ = 21521039232. Its totient is φ = 1730985984.

The previous prime is 6563461621. The next prime is 6563461637. The reversal of 6563461632 is 2361643656.

It is a happy number.

It is a super-2 number, since 2×6563461632² = 86158057189472206848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6563461637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116298 + ... + 163254.

Almost surely, 2^6563461632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6563461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760519616).

6563461632 is an abundant number, since it is smaller than the sum of its proper divisors (14957577600).

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

6563461632 is a wasteful number, since it uses less digits than its factorization.

6563461632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46998 (or 46982 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 6563461632 is about 81015.1938342432. The cubic root of 6563461632 is about 1872.3095404567.

The spelling of 6563461632 in words is "six billion, five hundred sixty-three million, four hundred sixty-one thousand, six hundred thirty-two".