5735914560 has 420 divisors, whose sum is σ = 21569182668. Its totient is φ = 1446709248.

The previous prime is 5735914507. The next prime is 5735914567. The reversal of 5735914560 is 654195375.

5735914560 is a `hidden beast` number, since 5 + 7 + 3 + 591 + 4 + 56 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 675584064 + 5060330496 = 25992^2 + 71136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5735914567) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9356814 + ... + 9357426.

Almost surely, 2^5735914560 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 5735914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784591334).

5735914560 is an abundant number, since it is smaller than the sum of its proper divisors (15833268108).

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

5735914560 is a wasteful number, since it uses less digits than its factorization.

5735914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 5735914560 is about 75735.8208511666. The cubic root of 5735914560 is about 1790.0598754458.

The spelling of 5735914560 in words is "five billion, seven hundred thirty-five million, nine hundred fourteen thousand, five hundred sixty".