5633776400 has 120 divisors (see below), whose sum is σ = 16141478784. Its totient is φ = 1847577600.

The previous prime is 5633776381. The next prime is 5633776403. The reversal of 5633776400 is 46773365.

It is not an unprimeable number, because it can be changed into a prime (5633776403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20660 + ... + 108140.

Almost surely, 2^5633776400 is an apocalyptic number.

5633776400 is a gapful number since it is divisible by the number (50) 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 5633776400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8070739392).

5633776400 is an abundant number, since it is smaller than the sum of its proper divisors (10507702384).

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

5633776400 is a wasteful number, since it uses less digits than its factorization.

5633776400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87529 (or 87518 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

The square root of 5633776400 is about 75058.4865288396. The cubic root of 5633776400 is about 1779.3711114205.

The spelling of 5633776400 in words is "five billion, six hundred thirty-three million, seven hundred seventy-six thousand, four hundred".