666824970240 has 1248 divisors, whose sum is σ = 2819042868096. Its totient is φ = 149060321280.

The previous prime is 666824970191. The next prime is 666824970247. The reversal of 666824970240 is 42079428666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666824970247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711659052 + ... + 711659988.

It is an arithmetic number, because the mean of its divisors is an integer number (2258848452).

Almost surely, 2^666824970240 is an apocalyptic number.

666824970240 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 666824970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409521434048).

666824970240 is an abundant number, since it is smaller than the sum of its proper divisors (2152217897856).

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

666824970240 is a wasteful number, since it uses less digits than its factorization.

666824970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 666824970240 in words is "six hundred sixty-six billion, eight hundred twenty-four million, nine hundred seventy thousand, two hundred forty".