5945628960 has 384 divisors, whose sum is σ = 23198918400. Its totient is φ = 1413365760.

The previous prime is 5945628937. The next prime is 5945628989. The reversal of 5945628960 is 698265495.

It is a happy number.

5945628960 is a `hidden beast` number, since 5 + 9 + 4 + 5 + 628 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5945628897 and 5945628906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393230 + ... + 1397490.

It is an arithmetic number, because the mean of its divisors is an integer number (60413850).

Almost surely, 2^5945628960 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 5945628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11599459200).

5945628960 is an abundant number, since it is smaller than the sum of its proper divisors (17253289440).

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

5945628960 is a wasteful number, since it uses less digits than its factorization.

5945628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5945628960 is about 77107.9046531547. The cubic root of 5945628960 is about 1811.6151105670.

The spelling of 5945628960 in words is "five billion, nine hundred forty-five million, six hundred twenty-eight thousand, nine hundred sixty".