4277761664 has 32 divisors (see below), whose sum is σ = 9296843040. Its totient is φ = 1944436480.

The previous prime is 4277761643. The next prime is 4277761673. The reversal of 4277761664 is 4661677724.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1517684 + ... + 1520499.

It is an arithmetic number, because the mean of its divisors is an integer number (290526345).

Almost surely, 2^4277761664 is an apocalyptic number.

4277761664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4277761664 is an abundant number, since it is smaller than the sum of its proper divisors (5019081376).

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

4277761664 is a wasteful number, since it uses less digits than its factorization.

4277761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038208 (or 3038196 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 50.

The square root of 4277761664 is about 65404.5997159221. The cubic root of 4277761664 is about 1623.3251906132.

The spelling of 4277761664 in words is "four billion, two hundred seventy-seven million, seven hundred sixty-one thousand, six hundred sixty-four".