5632461120 has 448 divisors, whose sum is σ = 21291621120. Its totient is φ = 1243545600.

The previous prime is 5632461119. The next prime is 5632461127. The reversal of 5632461120 is 211642365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632461127) 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, 12217690 + ... + 12218150.

It is an arithmetic number, because the mean of its divisors is an integer number (47525940).

Almost surely, 2^5632461120 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 5632461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10645810560).

5632461120 is an abundant number, since it is smaller than the sum of its proper divisors (15659160000).

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

5632461120 is a wasteful number, since it uses less digits than its factorization.

5632461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5632461120 is about 75049.7243166156. The cubic root of 5632461120 is about 1779.2326280290.

The spelling of 5632461120 in words is "five billion, six hundred thirty-two million, four hundred sixty-one thousand, one hundred twenty".