4197763664 has 80 divisors (see below), whose sum is σ = 8557340688. Its totient is φ = 1992646656.

The previous prime is 4197763657. The next prime is 4197763681. The reversal of 4197763664 is 4663677914.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 388405264 + 3809358400 = 19708^2 + 61720^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10573514 + ... + 10573910.

Almost surely, 2^4197763664 is an apocalyptic number.

It is an amenable number.

4197763664 is an abundant number, since it is smaller than the sum of its proper divisors (4359577024).

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

4197763664 is a wasteful number, since it uses less digits than its factorization.

4197763664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 53.

The square root of 4197763664 is about 64790.1509799136. The cubic root of 4197763664 is about 1613.1422325994.

The spelling of 4197763664 in words is "four billion, one hundred ninety-seven million, seven hundred sixty-three thousand, six hundred sixty-four".