5633670600 has 288 divisors, whose sum is σ = 20229955200. Its totient is φ = 1401523200.

The previous prime is 5633670569. The next prime is 5633670607. The reversal of 5633670600 is 60763365.

5633670600 is a `hidden beast` number, since 563 + 36 + 7 + 0 + 60 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5633670607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1695741 + ... + 1699059.

It is an arithmetic number, because the mean of its divisors is an integer number (70242900).

Almost surely, 2^5633670600 is an apocalyptic number.

5633670600 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 5633670600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114977600).

5633670600 is an abundant number, since it is smaller than the sum of its proper divisors (14596284600).

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

5633670600 is a wasteful number, since it uses less digits than its factorization.

5633670600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 5633670600 is about 75057.7817418021. The cubic root of 5633670600 is about 1779.3599727320.

The spelling of 5633670600 in words is "five billion, six hundred thirty-three million, six hundred seventy thousand, six hundred".