57764757649 has 9 divisors (see below), whose sum is σ = 59695945659. Its totient is φ = 55894168080.

The previous prime is 57764757647. The next prime is 57764757671. The reversal of 57764757649 is 94675746775.

The square root of 57764757649 is 240343.

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

It can be written as a sum of positive squares in only one way, i.e., 57496846225 + 267911424 = 239785^2 + 16368^2 .

It is not a de Polignac number, because 57764757649 - 2¹ = 57764757647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57764757641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7446757 + ... + 7454509.

It is an arithmetic number, because the mean of its divisors is an integer number (6632882851).

Almost surely, 2^57764757649 is an apocalyptic number.

57764757649 is the 240343-rd square number.

57764757649 is the 120172-nd centered octagonal number.

It is an amenable number.

57764757649 is a deficient number, since it is larger than the sum of its proper divisors (1931188010).

57764757649 is an frugal number, since it uses more digits than its factorization.

57764757649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15568 (or 7784 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 67.

The spelling of 57764757649 in words is "fifty-seven billion, seven hundred sixty-four million, seven hundred fifty-seven thousand, six hundred forty-nine".