5945595264 has 256 divisors, whose sum is σ = 20181312000. Its totient is φ = 1688020992.

The previous prime is 5945595263. The next prime is 5945595281. The reversal of 5945595264 is 4625955495.

5945595264 is a `hidden beast` number, since 5 + 9 + 45 + 595 + 2 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5945595264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5945595263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4329682 + ... + 4331054.

It is an arithmetic number, because the mean of its divisors is an integer number (78833250).

Almost surely, 2^5945595264 is an apocalyptic number.

5945595264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945595264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090656000).

5945595264 is an abundant number, since it is smaller than the sum of its proper divisors (14235716736).

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

5945595264 is a wasteful number, since it uses less digits than its factorization.

5945595264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1564 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The square root of 5945595264 is about 77107.6861538459. The cubic root of 5945595264 is about 1811.6116882042.

The spelling of 5945595264 in words is "five billion, nine hundred forty-five million, five hundred ninety-five thousand, two hundred sixty-four".