5964028704 has 144 divisors (see below), whose sum is σ = 17771933088. Its totient is φ = 1967265792.

The previous prime is 5964028703. The next prime is 5964028711. The reversal of 5964028704 is 4078204695.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5964028704.

It is not an unprimeable number, because it can be changed into a prime (5964028703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750319 + ... + 758225.

It is an arithmetic number, because the mean of its divisors is an integer number (123416202).

Almost surely, 2^5964028704 is an apocalyptic number.

5964028704 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 5964028704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8885966544).

5964028704 is an abundant number, since it is smaller than the sum of its proper divisors (11807904384).

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

5964028704 is an equidigital number, since it uses as much as digits as its factorization.

5964028704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8029 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5964028704 is about 77227.1241468954. The cubic root of 5964028704 is about 1813.4819681845.

The spelling of 5964028704 in words is "five billion, nine hundred sixty-four million, twenty-eight thousand, seven hundred four".