4677737182976 has 144 divisors (see below), whose sum is σ = 10973175491040. Its totient is φ = 1962043637760.

The previous prime is 4677737182961. The next prime is 4677737182997. The reversal of 4677737182976 is 6792817377764.

It is a congruent number.

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, 121263020 + ... + 121301588.

Almost surely, 2^{4677737182976} 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 4677737182976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486587745520).

4677737182976 is an abundant number, since it is smaller than the sum of its proper divisors (6295438308064).

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

4677737182976 is a wasteful number, since it uses less digits than its factorization.

4677737182976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41922 (or 41908 counting only the distinct ones).

The product of its digits is 1045529856, while the sum is 74.

The spelling of 4677737182976 in words is "four trillion, six hundred seventy-seven billion, seven hundred thirty-seven million, one hundred eighty-two thousand, nine hundred seventy-six".