5940567360 has 672 divisors, whose sum is σ = 26494191360. Its totient is φ = 1186430976.

The previous prime is 5940567359. The next prime is 5940567403. The reversal of 5940567360 is 637650495.

5940567360 is a `hidden beast` number, since 59 + 4 + 0 + 567 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 4978924 + ... + 4980116.

It is an arithmetic number, because the mean of its divisors is an integer number (39425880).

Almost surely, 2^5940567360 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 5940567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247095680).

5940567360 is an abundant number, since it is smaller than the sum of its proper divisors (20553624000).

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

5940567360 is a wasteful number, since it uses less digits than its factorization.

5940567360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5940567360 is about 77075.0761271113. The cubic root of 5940567360 is about 1811.1008798928.

The spelling of 5940567360 in words is "five billion, nine hundred forty million, five hundred sixty-seven thousand, three hundred sixty".