4677100064 has 96 divisors (see below), whose sum is σ = 11360724480. Its totient is φ = 1845752832.

The previous prime is 4677100039. The next prime is 4677100069. The reversal of 4677100064 is 4600017764.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4677099997 and 4677100033.

It is not an unprimeable number, because it can be changed into a prime (4677100069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1346522 + ... + 1349990.

It is an arithmetic number, because the mean of its divisors is an integer number (118340880).

Almost surely, 2^4677100064 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 4677100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680362240).

4677100064 is an abundant number, since it is smaller than the sum of its proper divisors (6683624416).

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

4677100064 is a wasteful number, since it uses less digits than its factorization.

4677100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 4677100064 is about 68389.3271205383. The cubic root of 4677100064 is about 1672.3437592070.

The spelling of 4677100064 in words is "four billion, six hundred seventy-seven million, one hundred thousand, sixty-four".