5635284480 has 640 divisors, whose sum is σ = 24119884800. Its totient is φ = 1218281472.

The previous prime is 5635284463. The next prime is 5635284481. The reversal of 5635284480 is 844825365.

5635284480 is a `hidden beast` number, since 5 + 6 + 3 + 528 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5635284481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192654 + ... + 9193266.

It is an arithmetic number, because the mean of its divisors is an integer number (37687320).

Almost surely, 2^5635284480 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 5635284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059942400).

5635284480 is an abundant number, since it is smaller than the sum of its proper divisors (18484600320).

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

5635284480 is a wasteful number, since it uses less digits than its factorization.

5635284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5635284480 is about 75068.5318892011. The cubic root of 5635284480 is about 1779.5298678444.

The spelling of 5635284480 in words is "five billion, six hundred thirty-five million, two hundred eighty-four thousand, four hundred eighty".