5935645440 has 576 divisors, whose sum is σ = 22251801600. Its totient is φ = 1496678400.

The previous prime is 5935645411. The next prime is 5935645447. The reversal of 5935645440 is 445465395.

5935645440 is a `hidden beast` number, since 59 + 3 + 56 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5935645447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83600605 + ... + 83600675.

It is an arithmetic number, because the mean of its divisors is an integer number (38631600).

Almost surely, 2^5935645440 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 5935645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11125900800).

5935645440 is an abundant number, since it is smaller than the sum of its proper divisors (16316156160).

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

5935645440 is a wasteful number, since it uses less digits than its factorization.

5935645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5935645440 is about 77043.1401229207. The cubic root of 5935645440 is about 1810.6005597442.

The spelling of 5935645440 in words is "five billion, nine hundred thirty-five million, six hundred forty-five thousand, four hundred forty".