666291291120 has 480 divisors, whose sum is σ = 2916009113472. Its totient is φ = 132310499328.

The previous prime is 666291291109. The next prime is 666291291131. The reversal of 666291291120 is 21192192666.

It is an interprime number because it is at equal distance from previous prime (666291291109) and next prime (666291291131).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 814744 + ... + 1412936.

Almost surely, 2^666291291120 is an apocalyptic number.

666291291120 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 666291291120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458004556736).

666291291120 is an abundant number, since it is smaller than the sum of its proper divisors (2249717822352).

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

666291291120 is a wasteful number, since it uses less digits than its factorization.

666291291120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598249 (or 598240 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 666291291120 in words is "six hundred sixty-six billion, two hundred ninety-one million, two hundred ninety-one thousand, one hundred twenty".