668747100 has 288 divisors, whose sum is σ = 2313740800. Its totient is φ = 149022720.

The previous prime is 668747099. The next prime is 668747117. The reversal of 668747100 is 1747866.

It is a super-3 number, since 3×668747100³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6894252 + ... + 6894348.

Almost surely, 2^668747100 is an apocalyptic number.

668747100 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 668747100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156870400).

668747100 is an abundant number, since it is smaller than the sum of its proper divisors (1644993700).

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

668747100 is a wasteful number, since it uses less digits than its factorization.

668747100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 668747100 is about 25860.1450111943. The cubic root of 668747100 is about 874.4882340724.

The spelling of 668747100 in words is "six hundred sixty-eight million, seven hundred forty-seven thousand, one hundred".