4866577408 has 264 divisors, whose sum is σ = 12684718592. Its totient is φ = 1824768000.

The previous prime is 4866577393. The next prime is 4866577423. The reversal of 4866577408 is 8047756684.

It is an interprime number because it is at equal distance from previous prime (4866577393) and next prime (4866577423).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26887078 + ... + 26887258.

Almost surely, 2^4866577408 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 4866577408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342359296).

4866577408 is an abundant number, since it is smaller than the sum of its proper divisors (7818141184).

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

4866577408 is a wasteful number, since it uses less digits than its factorization.

4866577408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The square root of 4866577408 is about 69760.8587103112. The cubic root of 4866577408 is about 1694.6286529397.

The spelling of 4866577408 in words is "four billion, eight hundred sixty-six million, five hundred seventy-seven thousand, four hundred eight".