4776149664 has 768 divisors, whose sum is σ = 17882726400. Its totient is φ = 1219276800.

The previous prime is 4776149659. The next prime is 4776149669. The reversal of 4776149664 is 4669416774.

It is an interprime number because it is at equal distance from previous prime (4776149659) and next prime (4776149669).

It is a super-2 number, since 2×4776149664² = 45623211225854625792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4776149664.

It is not an unprimeable number, because it can be changed into a prime (4776149669) 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 127 ways as a sum of consecutive naturals, for example, 111073227 + ... + 111073269.

It is an arithmetic number, because the mean of its divisors is an integer number (23284800).

Almost surely, 2^4776149664 is an apocalyptic number.

4776149664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4776149664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941363200).

4776149664 is an abundant number, since it is smaller than the sum of its proper divisors (13106576736).

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

4776149664 is a wasteful number, since it uses less digits than its factorization.

4776149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 4776149664 is about 69109.6929815203. The cubic root of 4776149664 is about 1684.0667802443.

The spelling of 4776149664 in words is "four billion, seven hundred seventy-six million, one hundred forty-nine thousand, six hundred sixty-four".