606666412800 has 1944 divisors, whose sum is σ = 2760820171200. Its totient is φ = 131054837760.

The previous prime is 606666412763. The next prime is 606666412873. The reversal of 606666412800 is 8214666606.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 1447890991 + ... + 1447891409.

Almost surely, 2^606666412800 is an apocalyptic number.

606666412800 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 606666412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380410085600).

606666412800 is an abundant number, since it is smaller than the sum of its proper divisors (2154153758400).

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

606666412800 is a wasteful number, since it uses less digits than its factorization.

606666412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 606666412800 in words is "six hundred six billion, six hundred sixty-six million, four hundred twelve thousand, eight hundred".