5643642600 has 240 divisors, whose sum is σ = 19686448320. Its totient is φ = 1498435200.

The previous prime is 5643642583. The next prime is 5643642607. The reversal of 5643642600 is 62463465.

5643642600 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 6 + 42 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5643642607) 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, 4583985 + ... + 4585215.

It is an arithmetic number, because the mean of its divisors is an integer number (82026868).

Almost surely, 2^5643642600 is an apocalyptic number.

5643642600 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 5643642600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843224160).

5643642600 is an abundant number, since it is smaller than the sum of its proper divisors (14042805720).

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

5643642600 is a wasteful number, since it uses less digits than its factorization.

5643642600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1524 counting only the distinct ones).

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

The square root of 5643642600 is about 75124.1811935411. The cubic root of 5643642600 is about 1780.4092187114.

The spelling of 5643642600 in words is "five billion, six hundred forty-three million, six hundred forty-two thousand, six hundred".