4577966676330 has 256 divisors, whose sum is σ = 11753330688000. Its totient is φ = 1139544806400.

The previous prime is 4577966676319. The next prime is 4577966676331. The reversal of 4577966676330 is 336766697754.

It is not an unprimeable number, because it can be changed into a prime (4577966676331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 750360280 + ... + 750366380.

It is an arithmetic number, because the mean of its divisors is an integer number (45911448000).

Almost surely, 2^{4577966676330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4577966676330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876665344000).

4577966676330 is an abundant number, since it is smaller than the sum of its proper divisors (7175364011670).

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

4577966676330 is a wasteful number, since it uses less digits than its factorization.

4577966676330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469.

The product of its (nonzero) digits is 720135360, while the sum is 69.

The spelling of 4577966676330 in words is "four trillion, five hundred seventy-seven billion, nine hundred sixty-six million, six hundred seventy-six thousand, three hundred thirty".