5735656332 has 288 divisors, whose sum is σ = 18034458624. Its totient is φ = 1559476800.

The previous prime is 5735656321. The next prime is 5735656387. The reversal of 5735656332 is 2336565375.

5735656332 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 6 + 5 + 633 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14975413 + ... + 14975795.

It is an arithmetic number, because the mean of its divisors is an integer number (62619648).

Almost surely, 2^5735656332 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 5735656332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017229312).

5735656332 is an abundant number, since it is smaller than the sum of its proper divisors (12298802292).

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

5735656332 is a wasteful number, since it uses less digits than its factorization.

5735656332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 45.

The square root of 5735656332 is about 75734.1160376220. The cubic root of 5735656332 is about 1790.0330125098.

The spelling of 5735656332 in words is "five billion, seven hundred thirty-five million, six hundred fifty-six thousand, three hundred thirty-two".