4676616384 has 112 divisors (see below), whose sum is σ = 13517611776. Its totient is φ = 1415142400.

The previous prime is 4676616341. The next prime is 4676616391. The reversal of 4676616384 is 4836166764.

It is a super-3 number, since 3×4676616384³ (a number of 30 digits) contains 333 as substring.

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, 2239789 + ... + 2241875.

Almost surely, 2^4676616384 is an apocalyptic number.

4676616384 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 4676616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758805888).

4676616384 is an abundant number, since it is smaller than the sum of its proper divisors (8840995392).

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

4676616384 is a wasteful number, since it uses less digits than its factorization.

4676616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3164 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 51.

The square root of 4676616384 is about 68385.7908048156. The cubic root of 4676616384 is about 1672.2861090175.

The spelling of 4676616384 in words is "four billion, six hundred seventy-six million, six hundred sixteen thousand, three hundred eighty-four".