4676661919360 has 128 divisors (see below), whose sum is σ = 11553423932160. Its totient is φ = 1809069158400.

The previous prime is 4676661919343. The next prime is 4676661919373. The reversal of 4676661919360 is 639191666764.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 4676661919292 and 4676661919301.

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 15 ways as a sum of consecutive naturals, for example, 1938249 + ... + 3620791.

It is an arithmetic number, because the mean of its divisors is an integer number (90261124470).

Almost surely, 2^{4676661919360} is an apocalyptic number.

4676661919360 is a gapful number since it is divisible by the number (40) 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 4676661919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776711966080).

4676661919360 is an abundant number, since it is smaller than the sum of its proper divisors (6876762012800).

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

4676661919360 is a wasteful number, since it uses less digits than its factorization.

4676661919360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682706 (or 1682694 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 64.

The spelling of 4676661919360 in words is "four trillion, six hundred seventy-six billion, six hundred sixty-one million, nine hundred nineteen thousand, three hundred sixty".