4257764961 has 8 divisors (see below), whose sum is σ = 5748881280. Its totient is φ = 2802579312.

The previous prime is 4257764947. The next prime is 4257764983. The reversal of 4257764961 is 1694677524.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4257764961 - 2¹⁸ = 4257502817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4257764941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8982390 + ... + 8982863.

It is an arithmetic number, because the mean of its divisors is an integer number (718610160).

Almost surely, 2^4257764961 is an apocalyptic number.

It is an amenable number.

4257764961 is a deficient number, since it is larger than the sum of its proper divisors (1491116319).

4257764961 is a wasteful number, since it uses less digits than its factorization.

4257764961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17965335.

The product of its digits is 2540160, while the sum is 51.

The square root of 4257764961 is about 65251.5514068440. The cubic root of 4257764961 is about 1620.7917890596.

The spelling of 4257764961 in words is "four billion, two hundred fifty-seven million, seven hundred sixty-four thousand, nine hundred sixty-one".