5590632960 has 960 divisors, whose sum is σ = 23593489920. Its totient is φ = 1254113280.

The previous prime is 5590632913. The next prime is 5590632997. The reversal of 5590632960 is 692360955.

5590632960 is a `hidden beast` number, since 5 + 5 + 9 + 0 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×5590632960³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130014699 + ... + 130014741.

It is an arithmetic number, because the mean of its divisors is an integer number (24576552).

Almost surely, 2^5590632960 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 5590632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

5590632960 is an abundant number, since it is smaller than the sum of its proper divisors (18002856960).

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

5590632960 is a wasteful number, since it uses less digits than its factorization.

5590632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 5590632960 is about 74770.5353732338. The cubic root of 5590632960 is about 1774.8173280239.

The spelling of 5590632960 in words is "five billion, five hundred ninety million, six hundred thirty-two thousand, nine hundred sixty".