4777172064 has 144 divisors (see below), whose sum is σ = 15574890240. Its totient is φ = 1360592640.

The previous prime is 4777172039. The next prime is 4777172069. The reversal of 4777172064 is 4602717774.

4777172064 is a `hidden beast` number, since 477 + 7 + 172 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4777172069) 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 23 ways as a sum of consecutive naturals, for example, 663717 + ... + 670875.

It is an arithmetic number, because the mean of its divisors is an integer number (108158960).

Almost surely, 2^4777172064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4777172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787445120).

4777172064 is an abundant number, since it is smaller than the sum of its proper divisors (10797718176).

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

4777172064 is a wasteful number, since it uses less digits than its factorization.

4777172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 4777172064 is about 69117.0895220567. The cubic root of 4777172064 is about 1684.1869374947.

The spelling of 4777172064 in words is "four billion, seven hundred seventy-seven million, one hundred seventy-two thousand, sixty-four".