668449101600 has 864 divisors, whose sum is σ = 2801239459200. Its totient is φ = 149876213760.

The previous prime is 668449101587. The next prime is 668449101641. The reversal of 668449101600 is 6101944866.

668449101600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×668449101600⁵ (a number of 60 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130886247 + ... + 130891353.

It is an arithmetic number, because the mean of its divisors is an integer number (3242175300).

Almost surely, 2^668449101600 is an apocalyptic number.

668449101600 is a gapful number since it is divisible by the number (60) 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 668449101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400619729600).

668449101600 is an abundant number, since it is smaller than the sum of its proper divisors (2132790357600).

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

668449101600 is a wasteful number, since it uses less digits than its factorization.

668449101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 668449101600 in words is "six hundred sixty-eight billion, four hundred forty-nine million, one hundred one thousand, six hundred".