6563462400 has 540 divisors, whose sum is σ = 26497304064. Its totient is φ = 1589760000.

The previous prime is 6563462371. The next prime is 6563462407. The reversal of 6563462400 is 42643656.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6563462407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5701825 + ... + 5702975.

Almost surely, 2^6563462400 is an apocalyptic number.

6563462400 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 6563462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13248652032).

6563462400 is an abundant number, since it is smaller than the sum of its proper divisors (19933841664).

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

6563462400 is a wasteful number, since it uses less digits than its factorization.

6563462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6563462400 is about 81015.1985740947. The cubic root of 6563462400 is about 1872.3096134839.

The spelling of 6563462400 in words is "six billion, five hundred sixty-three million, four hundred sixty-two thousand, four hundred".