4668518400 has 624 divisors, whose sum is σ = 19111110144. Its totient is φ = 979107840.

The previous prime is 4668518399. The next prime is 4668518419. The reversal of 4668518400 is 48158664.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×4668518400² = 43590128102277120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27955117 + ... + 27955283.

Almost surely, 2^4668518400 is an apocalyptic number.

4668518400 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 4668518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555555072).

4668518400 is an abundant number, since it is smaller than the sum of its proper divisors (14442591744).

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

4668518400 is a wasteful number, since it uses less digits than its factorization.

4668518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4668518400 is about 68326.5570623897. The cubic root of 4668518400 is about 1671.3203131619.

The spelling of 4668518400 in words is "four billion, six hundred sixty-eight million, five hundred eighteen thousand, four hundred".