5745180672 has 576 divisors, whose sum is σ = 21755522880. Its totient is φ = 1427374080.

The previous prime is 5745180667. The next prime is 5745180703. The reversal of 5745180672 is 2760815475.

5745180672 is a `hidden beast` number, since 5 + 74 + 518 + 0 + 67 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 249790453 + ... + 249790475.

It is an arithmetic number, because the mean of its divisors is an integer number (37770005).

Almost surely, 2^5745180672 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 5745180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877761440).

5745180672 is an abundant number, since it is smaller than the sum of its proper divisors (16010342208).

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

5745180672 is a wasteful number, since it uses less digits than its factorization.

5745180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5745180672 is about 75796.9700713689. The cubic root of 5745180672 is about 1791.0232772615.

The spelling of 5745180672 in words is "five billion, seven hundred forty-five million, one hundred eighty thousand, six hundred seventy-two".