5335774560 has 576 divisors, whose sum is σ = 20605777920. Its totient is φ = 1298903040.

The previous prime is 5335774559. The next prime is 5335774589. The reversal of 5335774560 is 654775335.

5335774560 is a `hidden beast` number, since 5 + 33 + 57 + 7 + 4 + 560 = 666.

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, 22900204 + ... + 22900436.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 2^5335774560 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 5335774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302888960).

5335774560 is an abundant number, since it is smaller than the sum of its proper divisors (15270003360).

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

5335774560 is a wasteful number, since it uses less digits than its factorization.

5335774560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 45.

The square root of 5335774560 is about 73046.3863582587. The cubic root of 5335774560 is about 1747.4274648004.

The spelling of 5335774560 in words is "five billion, three hundred thirty-five million, seven hundred seventy-four thousand, five hundred sixty".