2007666000 has 440 divisors, whose sum is σ = 7710102504. Its totient is φ = 503884800.

The previous prime is 2007665971. The next prime is 2007666013. The reversal of 2007666000 is 6667002.

It can be written as a sum of positive squares in 4 ways, for example, as 8503056 + 1999162944 = 2916^2 + 44712^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 118097992 + ... + 118098008.

Almost surely, 2^2007666000 is an apocalyptic number.

2007666000 is a gapful number since it is divisible by the number (20) 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 2007666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855051252).

2007666000 is an abundant number, since it is smaller than the sum of its proper divisors (5702436504).

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

2007666000 is an frugal number, since it uses more digits than its factorization.

2007666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2007666000 is about 44806.9860624434. The cubic root of 2007666000 is about 1261.5287566559.

The spelling of 2007666000 in words is "two billion, seven million, six hundred sixty-six thousand".