5532461600 has 72 divisors (see below), whose sum is σ = 13546859508. Its totient is φ = 2206310400.

The previous prime is 5532461579. The next prime is 5532461621. The reversal of 5532461600 is 61642355.

It is an interprime number because it is at equal distance from previous prime (5532461579) and next prime (5532461621).

It can be written as a sum of positive squares in 6 ways, for example, as 1748243344 + 3784218256 = 41812^2 + 61516^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259340 + ... + 279860.

Almost surely, 2^5532461600 is an apocalyptic number.

5532461600 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 5532461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773429754).

5532461600 is an abundant number, since it is smaller than the sum of its proper divisors (8014397908).

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

5532461600 is a wasteful number, since it uses less digits than its factorization.

5532461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20878 (or 20865 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5532461600 is about 74380.5189548984. The cubic root of 5532461600 is about 1768.6401079615.

The spelling of 5532461600 in words is "five billion, five hundred thirty-two million, four hundred sixty-one thousand, six hundred".