4668727400 has 144 divisors (see below), whose sum is σ = 11533207140. Its totient is φ = 1756518400.

The previous prime is 4668727397. The next prime is 4668727417. The reversal of 4668727400 is 47278664.

It can be written as a sum of positive squares in 18 ways, for example, as 9572836 + 4659154564 = 3094^2 + 68258^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6895862 + ... + 6896538.

Almost surely, 2^4668727400 is an apocalyptic number.

4668727400 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 4668727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5766603570).

4668727400 is an abundant number, since it is smaller than the sum of its proper divisors (6864479740).

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

4668727400 is a wasteful number, since it uses less digits than its factorization.

4668727400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 4668727400 is about 68328.0864652304. The cubic root of 4668727400 is about 1671.3452533180.

The spelling of 4668727400 in words is "four billion, six hundred sixty-eight million, seven hundred twenty-seven thousand, four hundred".