4666677600 has 288 divisors, whose sum is σ = 16443260064. Its totient is φ = 1142784000.

The previous prime is 4666677557. The next prime is 4666677601. The reversal of 4666677600 is 67766664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4666677600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666677601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11637400 + ... + 11637800.

It is an arithmetic number, because the mean of its divisors is an integer number (57094653).

Almost surely, 2^4666677600 is an apocalyptic number.

4666677600 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 4666677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221630032).

4666677600 is an abundant number, since it is smaller than the sum of its proper divisors (11776582464).

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

4666677600 is a wasteful number, since it uses less digits than its factorization.

4666677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The square root of 4666677600 is about 68313.0851301564. The cubic root of 4666677600 is about 1671.1006167028.

The spelling of 4666677600 in words is "four billion, six hundred sixty-six million, six hundred seventy-seven thousand, six hundred".