5745640000 has 105 divisors (see below), whose sum is σ = 14285010927. Its totient is φ = 2292192000.

The previous prime is 5745639871. The next prime is 5745640031. The reversal of 5745640000 is 465475.

It is a happy number.

The square root of 5745640000 is 75800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 450458176 + 5295181824 = 21224^2 + 72768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15159811 + ... + 15160189.

Almost surely, 2^5745640000 is an apocalyptic number.

5745640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5745640000 is the 75800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745640000

5745640000 is an abundant number, since it is smaller than the sum of its proper divisors (8539370927).

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

5745640000 is an frugal number, since it uses more digits than its factorization.

5745640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The cubic root of 5745640000 is about 1791.0710068436.

The spelling of 5745640000 in words is "five billion, seven hundred forty-five million, six hundred forty thousand".